125949751200 has 2160 divisors, whose sum is σ = 597822736896. Its totient is φ = 25231564800.

The previous prime is 125949751177. The next prime is 125949751217. The reversal of 125949751200 is 2157949521.

125949751200 is a `hidden beast` number, since 1 + 2 + 594 + 9 + 7 + 51 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 2376410374 + ... + 2376410426.

Almost surely, 2^125949751200 is an apocalyptic number.

125949751200 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 125949751200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298911368448).

125949751200 is an abundant number, since it is smaller than the sum of its proper divisors (471872985696).

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

125949751200 is a wasteful number, since it uses less digits than its factorization.

125949751200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 125949751200 in words is "one hundred twenty-five billion, nine hundred forty-nine million, seven hundred fifty-one thousand, two hundred".