125025501200 has 120 divisors (see below), whose sum is σ = 309615817992. Its totient is φ = 48481320960.

The previous prime is 125025501187. The next prime is 125025501239. The reversal of 125025501200 is 2105520521.

It can be written as a sum of positive squares in 12 ways, for example, as 14514466576 + 110511034624 = 120476^2 + 332432^2 .

It is a super-2 number, since 2×125025501200² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4084352 + ... + 4114848.

Almost surely, 2^125025501200 is an apocalyptic number.

125025501200 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 125025501200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154807908996).

125025501200 is an abundant number, since it is smaller than the sum of its proper divisors (184590316792).

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

125025501200 is a wasteful number, since it uses less digits than its factorization.

125025501200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30829 (or 30818 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 23.

The spelling of 125025501200 in words is "one hundred twenty-five billion, twenty-five million, five hundred one thousand, two hundred".