12957320742912 has 1344 divisors, whose sum is σ = 48120167571840. Its totient is φ = 3395135471616.

The previous prime is 12957320742901. The next prime is 12957320742931. The reversal of 12957320742912 is 21924702375921.

12957320742912 is a `hidden beast` number, since 1 + 2 + 9 + 5 + 7 + 3 + 207 + 429 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 38449022808 + ... + 38449023144.

It is an arithmetic number, because the mean of its divisors is an integer number (35803696110).

Almost surely, 2^{12957320742912} is an apocalyptic number.

12957320742912 is a gapful number since it is divisible by the number (12) 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 12957320742912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24060083785920).

12957320742912 is an abundant number, since it is smaller than the sum of its proper divisors (35162846828928).

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

12957320742912 is an equidigital number, since it uses as much as digits as its factorization.

12957320742912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 12957320742912 in words is "twelve trillion, nine hundred fifty-seven billion, three hundred twenty million, seven hundred forty-two thousand, nine hundred twelve".