10012765127112 has 128 divisors (see below), whose sum is σ = 30987281203200. Its totient is φ = 2969614382400.

The previous prime is 10012765127107. The next prime is 10012765127227. The reversal of 10012765127112 is 21172156721001.

It is a happy number.

10012765127112 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 2 + 76 + 512 + 71 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 31 ways as a sum of consecutive naturals, for example, 44719464 + ... + 44942807.

It is an arithmetic number, because the mean of its divisors is an integer number (242088134400).

Almost surely, 2^{10012765127112} is an apocalyptic number.

10012765127112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10012765127112 is an abundant number, since it is smaller than the sum of its proper divisors (20974516076088).

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

10012765127112 is a wasteful number, since it uses less digits than its factorization.

10012765127112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89662344 (or 89662334 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 36.

The spelling of 10012765127112 in words is "ten trillion, twelve billion, seven hundred sixty-five million, one hundred twenty-seven thousand, one hundred twelve".