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20221012212120 = 23325311811918657
BaseRepresentation
bin1001001100100000100100…
…01111111111100110011000
32122121002222002221011101200
410212100102033333212120
510122300113111241440
6111001223232514200
74154630350565346
oct446202217774630
978532862834350
1020221012212120
1164967572621a5
122326b740ab960
13b38aaa902405
144dc9b8c30996
15250edcd6ac30
hex1264123ff998

20221012212120 has 96 divisors (see below), whose sum is σ = 67838234555520. Its totient is φ = 5218325729280.

The previous prime is 20221012212119. The next prime is 20221012212143. The reversal of 20221012212120 is 2121221012202.

It is a happy number.

20221012212120 is a `hidden beast` number, since 20 + 2 + 210 + 1 + 221 + 212 + 0 = 666.

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 = 20221012212093 and 20221012212102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 905948169 + ... + 905970488.

It is an arithmetic number, because the mean of its divisors is an integer number (706648276620).

Almost surely, 220221012212120 is an apocalyptic number.

20221012212120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20221012212120 is an abundant number, since it is smaller than the sum of its proper divisors (47617222343400).

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

20221012212120 is a wasteful number, since it uses less digits than its factorization.

20221012212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1811918705 (or 1811918698 counting only the distinct ones).

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

Adding to 20221012212120 its reverse (2121221012202), we get a palindrome (22342233224322).

The spelling of 20221012212120 in words is "twenty trillion, two hundred twenty-one billion, twelve million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 31 36 40 45 60 62 72 90 93 120 124 155 180 186 248 279 310 360 372 465 558 620 744 930 1116 1240 1395 1860 2232 2790 3720 5580 11160 1811918657 3623837314 5435755971 7247674628 9059593285 10871511942 14495349256 16307267913 18119186570 21743023884 27178779855 32614535826 36238373140 43486047768 54357559710 56169478367 65229071652 72476746280 81536339565 108715119420 112338956734 130458143304 163072679130 168508435101 217430238840 224677913468 280847391835 326145358260 337016870202 449355826936 505525305303 561694783670 652290716520 674033740404 842542175505 1011050610606 1123389567340 1348067480808 1685084351010 2022101221212 2246779134680 2527626526515 3370168702020 4044202442424 5055253053030 6740337404040 10110506106060 20221012212120