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222201120121020 = 2232529311373137561
BaseRepresentation
bin110010100001011100111010…
…110101010110000010111100
31002010202012221002221010212100
4302201130322311112002330
5213111020343222333040
62104325441350505100
764542333616556445
oct6241347265260274
91063665832833770
10222201120121020
1164888a6959a917
1220b08095665190
1396ca625200341
143cc283d4ac2cc
151aa4e63884b30
hexca173ad560bc

222201120121020 has 144 divisors (see below), whose sum is σ = 719743784497920. Its totient is φ = 55364906419200.

The previous prime is 222201120120997. The next prime is 222201120121021. The reversal of 222201120121020 is 20121021102222.

It is a happy number.

222201120121020 is a `hidden beast` number, since 2 + 2 + 220 + 11 + 201 + 210 + 20 = 666.

222201120121020 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 222201120120984 and 222201120121002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222201120121021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 686406961 + ... + 686730600.

It is an arithmetic number, because the mean of its divisors is an integer number (4998220725680).

Almost surely, 2222201120121020 is an apocalyptic number.

222201120121020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222201120121020 is an abundant number, since it is smaller than the sum of its proper divisors (497542664376900).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

222201120121020 is a wasteful number, since it uses less digits than its factorization.

222201120121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1373137636 (or 1373137631 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 222201120121020 its reverse (20121021102222), we get a palindrome (242322141223242).

The spelling of 222201120121020 in words is "two hundred twenty-two trillion, two hundred one billion, one hundred twenty million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 31 36 45 58 60 62 87 90 93 116 124 145 155 174 180 186 261 279 290 310 348 372 435 465 522 558 580 620 870 899 930 1044 1116 1305 1395 1740 1798 1860 2610 2697 2790 3596 4495 5220 5394 5580 8091 8990 10788 13485 16182 17980 26970 32364 40455 53940 80910 161820 1373137561 2746275122 4119412683 5492550244 6865687805 8238825366 12358238049 13731375610 16477650732 20597063415 24716476098 27462751220 39820989269 41194126830 42567264391 49432952196 61791190245 79641978538 82388253660 85134528782 119462967807 123582380490 127701793173 159283957076 170269057564 199104946345 212836321955 238925935614 247164760980 255403586346 358388903421 383105379519 398209892690 425672643910 477851871228 510807172692 597314839035 638508965865 716777806842 766210759038 796419785380 851345287820 1194629678070 1234450667339 1277017931730 1433555613684 1532421518076 1791944517105 1915526897595 2389259356140 2468901334678 2554035863460 3583889034210 3703352002017 3831053795190 4937802669356 6172253336695 7167778068420 7406704004034 7662107590380 11110056006051 12344506673390 14813408008068 18516760010085 22220112012102 24689013346780 37033520020170 44440224024204 55550280030255 74067040040340 111100560060510 222201120121020