12512076160000 has 440 divisors, whose sum is σ = 34161887396736. Its totient is φ = 4558356480000.

The previous prime is 12512076159997. The next prime is 12512076160037. The reversal of 12512076160000 is 6167021521.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 337261452 + ... + 337298548.

Almost surely, 2^{12512076160000} is an apocalyptic number.

12512076160000 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 12512076160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17080943698368).

12512076160000 is an abundant number, since it is smaller than the sum of its proper divisors (21649811236736).

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

12512076160000 is an equidigital number, since it uses as much as digits as its factorization.

12512076160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37185 (or 37152 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The spelling of 12512076160000 in words is "twelve trillion, five hundred twelve billion, seventy-six million, one hundred sixty thousand".