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1201221023220 = 2232537311579947
BaseRepresentation
bin10001011110101110010…
…110100011010111110100
311020211120011021111221200
4101132232112203113310
5124140100040220340
62315455555212500
7152533243141341
oct21365626432764
94224504244850
101201221023220
11423486a51999
1217497a5a7130
138937556025a
14421d476b7c8
15213a6eca330
hex117ae5a35f4

1201221023220 has 144 divisors (see below), whose sum is σ = 3754221464448. Its totient is φ = 310665473280.

The previous prime is 1201221023173. The next prime is 1201221023269. The reversal of 1201221023220 is 223201221021.

1201221023220 is a `hidden beast` number, since 1 + 201 + 2 + 210 + 232 + 20 = 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 = 1201221023193 and 1201221023202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1781287 + ... + 2361233.

It is an arithmetic number, because the mean of its divisors is an integer number (26070982392).

Almost surely, 21201221023220 is an apocalyptic number.

1201221023220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1201221023220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1877110732224).

1201221023220 is an abundant number, since it is smaller than the sum of its proper divisors (2553000441228).

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

1201221023220 is a wasteful number, since it uses less digits than its factorization.

1201221023220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580310 (or 580305 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1201221023220 its reverse (223201221021), we get a palindrome (1424422244241).

The spelling of 1201221023220 in words is "one trillion, two hundred one billion, two hundred twenty-one million, twenty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 311 333 370 444 555 622 666 740 933 1110 1244 1332 1555 1665 1866 2220 2799 3110 3330 3732 4665 5598 6220 6660 9330 11196 11507 13995 18660 23014 27990 34521 46028 55980 57535 69042 103563 115070 138084 172605 207126 230140 345210 414252 517815 579947 690420 1035630 1159894 1739841 2071260 2319788 2899735 3479682 5219523 5799470 6959364 8699205 10439046 11598940 17398410 20878092 21458039 26097615 34796820 42916078 52195230 64374117 85832156 104390460 107290195 128748234 180363517 193122351 214580390 257496468 321870585 360727034 386244702 429160780 541090551 643741170 721454068 772489404 901817585 965611755 1082181102 1287482340 1623271653 1803635170 1931223510 2164362204 2705452755 3246543306 3607270340 3862447020 5410905510 6493086612 6673450129 8116358265 10821811020 13346900258 16232716530 20020350387 26693800516 32465433060 33367250645 40040700774 60061051161 66734501290 80081401548 100101751935 120122102322 133469002580 200203503870 240244204644 300305255805 400407007740 600610511610 1201221023220