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232012132121220 = 223511351533533517
BaseRepresentation
bin110100110000001110001000…
…101101111111101010000100
31010102111010212101220021121120
4310300032020231333222010
5220402241321310334340
62141240522503113540
766604215630602643
oct6460161055775204
91112433771807546
10232012132121220
1167a2087a047450
12220316097428b0
139c5c85b5a6139
144141638c3135a
151bc527beb34d0
hexd30388b7fa84

232012132121220 has 48 divisors (see below), whose sum is σ = 708691603572288. Its totient is φ = 56245365362560.

The previous prime is 232012132121173. The next prime is 232012132121281. The reversal of 232012132121220 is 22121231210232.

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 15 ways as a sum of consecutive naturals, for example, 175766766099 + ... + 175766767418.

It is an arithmetic number, because the mean of its divisors is an integer number (14764408407756).

Almost surely, 2232012132121220 is an apocalyptic number.

232012132121220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232012132121220 is an abundant number, since it is smaller than the sum of its proper divisors (476679471451068).

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

232012132121220 is a wasteful number, since it uses less digits than its factorization.

232012132121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351533533540 (or 351533533538 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 232012132121220 its reverse (22121231210232), we get a palindrome (254133363331452).

The spelling of 232012132121220 in words is "two hundred thirty-two trillion, twelve billion, one hundred thirty-two million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 351533533517 703067067034 1054600600551 1406134134068 1757667667585 2109201201102 3515335335170 3866868868687 4218402402204 5273003002755 7030670670340 7733737737374 10546006005510 11600606606061 15467475474748 19334344343435 21092012011020 23201213212122 38668688686870 46402426424244 58003033030305 77337377373740 116006066060610 232012132121220