125213191200 has 576 divisors, whose sum is σ = 474609623040. Its totient is φ = 31819392000.

The previous prime is 125213191189. The next prime is 125213191217. The reversal of 125213191200 is 2191312521.

125213191200 is a `hidden beast` number, since 1 + 2 + 521 + 3 + 19 + 120 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44861805 + ... + 44864595.

It is an arithmetic number, because the mean of its divisors is an integer number (823975040).

Almost surely, 2^125213191200 is an apocalyptic number.

125213191200 is a gapful number since it is divisible by the number (10) 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 125213191200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237304811520).

125213191200 is an abundant number, since it is smaller than the sum of its proper divisors (349396431840).

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

125213191200 is a wasteful number, since it uses less digits than its factorization.

125213191200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2918 (or 2899 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 125213191200 in words is "one hundred twenty-five billion, two hundred thirteen million, one hundred ninety-one thousand, two hundred".