12956417001120 has 192 divisors, whose sum is σ = 42148177182720. Its totient is φ = 3342089548800.

The previous prime is 12956417001103. The next prime is 12956417001133. The reversal of 12956417001120 is 2110071465921.

It is a happy number.

It is a super-2 number, since 2×12956417001120² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

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, 33121875 + ... + 33510765.

It is an arithmetic number, because the mean of its divisors is an integer number (219521756160).

Almost surely, 2^{12956417001120} is an apocalyptic number.

12956417001120 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 12956417001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21074088591360).

12956417001120 is an abundant number, since it is smaller than the sum of its proper divisors (29191760181600).

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

12956417001120 is a wasteful number, since it uses less digits than its factorization.

12956417001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391179 (or 391171 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 39.

The spelling of 12956417001120 in words is "twelve trillion, nine hundred fifty-six billion, four hundred seventeen million, one thousand, one hundred twenty".