1251993968082 has 256 divisors, whose sum is σ = 3323144724480. Its totient is φ = 344412000000.

The previous prime is 1251993968077. The next prime is 1251993968143. The reversal of 1251993968082 is 2808693991521.

1251993968082 is a `hidden beast` number, since 1 + 2 + 5 + 1 + 99 + 396 + 80 + 82 = 666.

It is a super-2 number, since 2×1251993968082² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 117762907 + ... + 117773537.

It is an arithmetic number, because the mean of its divisors is an integer number (12981034080).

Almost surely, 2^{1251993968082} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1251993968082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1661572362240).

1251993968082 is an abundant number, since it is smaller than the sum of its proper divisors (2071150756398).

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

1251993968082 is a wasteful number, since it uses less digits than its factorization.

1251993968082 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10918 (or 10912 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 63.

The spelling of 1251993968082 in words is "one trillion, two hundred fifty-one billion, nine hundred ninety-three million, nine hundred sixty-eight thousand, eighty-two".