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1201132312002 = 233716131969993
BaseRepresentation
bin10001011110101001000…
…100001001010111000010
311020211022222100112001000
4101132221010021113002
5124134404332441002
62315443105552430
7152531115124140
oct21365104112702
94224288315030
101201132312002
11423440970937
12174954945716
138936006cacc
14421c6a78590
152139e30561c
hex117a91095c2

1201132312002 has 64 divisors (see below), whose sum is σ = 3052387503360. Its totient is φ = 342967727232.

The previous prime is 1201132312001. The next prime is 1201132312013. The reversal of 1201132312002 is 2002132311021.

1201132312002 is a `hidden beast` number, since 120 + 113 + 231 + 200 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1201132312001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 375283 + ... + 1594710.

It is an arithmetic number, because the mean of its divisors is an integer number (47693554740).

Almost surely, 21201132312002 is an apocalyptic number.

1201132312002 is an abundant number, since it is smaller than the sum of its proper divisors (1851255191358).

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

1201132312002 is a wasteful number, since it uses less digits than its factorization.

1201132312002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1971624 (or 1971618 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1201132312002 its reverse (2002132311021), we get a palindrome (3203264623023).

It can be divided in two parts, 120113 and 2312002, that added together give a triangular number (2432115 = T2205).

The spelling of 1201132312002 in words is "one trillion, two hundred one billion, one hundred thirty-two million, three hundred twelve thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 1613 3226 4839 9678 11291 14517 22582 29034 33873 43551 67746 87102 101619 203238 304857 609714 1969993 3939986 5909979 11819958 13789951 17729937 27579902 35459874 41369853 53189811 82739706 106379622 124109559 248219118 372328677 744657354 3177598709 6355197418 9532796127 19065592254 22243190963 28598388381 44486381926 57196776762 66729572889 85795165143 133459145778 171590330286 200188718667 400377437334 600566156001 1201132312002