1251312022512 has 240 divisors, whose sum is σ = 3817543661568. Its totient is φ = 381444687360.

The previous prime is 1251312022463. The next prime is 1251312022573. The reversal of 1251312022512 is 2152202131521.

1251312022512 is a `hidden beast` number, since 1 + 2 + 5 + 1 + 3 + 120 + 22 + 512 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8448358 + ... + 8595194.

Almost surely, 2^{1251312022512} is an apocalyptic number.

1251312022512 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 1251312022512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1908771830784).

1251312022512 is an abundant number, since it is smaller than the sum of its proper divisors (2566231639056).

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

1251312022512 is a wasteful number, since it uses less digits than its factorization.

1251312022512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146988 (or 146979 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 1251312022512 in words is "one trillion, two hundred fifty-one billion, three hundred twelve million, twenty-two thousand, five hundred twelve".