1012135102512 has 40 divisors (see below), whose sum is σ = 2615039918400. Its totient is φ = 337332229440.

The previous prime is 1012135102501. The next prime is 1012135102543. The reversal of 1012135102512 is 2152015312101.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 7 ways as a sum of consecutive naturals, for example, 1086262 + ... + 1790037.

It is an arithmetic number, because the mean of its divisors is an integer number (65375997960).

Almost surely, 2^{1012135102512} is an apocalyptic number.

1012135102512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1012135102512 is an abundant number, since it is smaller than the sum of its proper divisors (1602904815888).

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

1012135102512 is a wasteful number, since it uses less digits than its factorization.

1012135102512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2883641 (or 2883635 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 24.

The spelling of 1012135102512 in words is "one trillion, twelve billion, one hundred thirty-five million, one hundred two thousand, five hundred twelve".