125322012091584 has 1120 divisors, whose sum is σ = 465261028531200. Its totient is φ = 32404014489600.

The previous prime is 125322012091559. The next prime is 125322012091631. The reversal of 125322012091584 is 485190210223521.

It is a happy number.

125322012091584 is a `hidden beast` number, since 1 + 2 + 5 + 32 + 20 + 12 + 0 + 9 + 1 + 584 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 133179608554 + ... + 133179609494.

Almost surely, 2^{125322012091584} is an apocalyptic number.

125322012091584 is a gapful number since it is divisible by the number (14) 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 125322012091584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232630514265600).

125322012091584 is an abundant number, since it is smaller than the sum of its proper divisors (339939016439616).

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

125322012091584 is a wasteful number, since it uses less digits than its factorization.

125322012091584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2139 (or 2120 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 125322012091584 in words is "one hundred twenty-five trillion, three hundred twenty-two billion, twelve million, ninety-one thousand, five hundred eighty-four".