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12131211121332 = 2231759466721183
BaseRepresentation
bin1011000010001000010010…
…0001111001001010110100
31120221201202221221200112220
42300202010201321022310
53042224210021340312
641445000151442340
72361310502104602
oct260420441711264
946851687850486
1012131211121332
1139578aa466356
12143b13a0863b0
1369cc78480954
142dd221c70872
15160862269c8c
hexb08848792b4

12131211121332 has 24 divisors (see below), whose sum is σ = 29971227476736. Its totient is φ = 3805870155648.

The previous prime is 12131211121327. The next prime is 12131211121333. The reversal of 12131211121332 is 23312111213121.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12131211121333) 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 7 ways as a sum of consecutive naturals, for example, 29733360388 + ... + 29733360795.

It is an arithmetic number, because the mean of its divisors is an integer number (1248801144864).

Almost surely, 212131211121332 is an apocalyptic number.

12131211121332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12131211121332 is an abundant number, since it is smaller than the sum of its proper divisors (17840016355404).

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

12131211121332 is a wasteful number, since it uses less digits than its factorization.

12131211121332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59466721207 (or 59466721205 counting only the distinct ones).

The product of its digits is 432, while the sum is 24.

Adding to 12131211121332 its reverse (23312111213121), we get a palindrome (35443322334453).

The spelling of 12131211121332 in words is "twelve trillion, one hundred thirty-one billion, two hundred eleven million, one hundred twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 59466721183 118933442366 178400163549 237866884732 356800327098 713600654196 1010934260111 2021868520222 3032802780333 4043737040444 6065605560666 12131211121332