125034215200 has 72 divisors (see below), whose sum is σ = 305288749332. Its totient is φ = 50005662720.

The previous prime is 125034215179. The next prime is 125034215219. The reversal of 125034215200 is 2512430521.

It can be written as a sum of positive squares in 6 ways, for example, as 83236866064 + 41797349136 = 288508^2 + 204444^2 .

It is a super-2 number, since 2×125034215200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9270862 + ... + 9284338.

Almost surely, 2^125034215200 is an apocalyptic number.

125034215200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125034215200 is an abundant number, since it is smaller than the sum of its proper divisors (180254534132).

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

125034215200 is a wasteful number, since it uses less digits than its factorization.

125034215200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25094 (or 25081 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 125034215200 its reverse (2512430521), we get a palindrome (127546645721).

The spelling of 125034215200 in words is "one hundred twenty-five billion, thirty-four million, two hundred fifteen thousand, two hundred".