125320044400 has 60 divisors (see below), whose sum is σ = 301117625800. Its totient is φ = 50121987840.

The previous prime is 125320044397. The next prime is 125320044403. The reversal of 125320044400 is 4440023521.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (125320044397) and next prime (125320044403).

It is a super-2 number, since 2×125320044400² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125320044403) by changing a digit.

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, 4938946 + ... + 4964254.

Almost surely, 2^125320044400 is an apocalyptic number.

125320044400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125320044400 is an abundant number, since it is smaller than the sum of its proper divisors (175797581400).

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

125320044400 is a wasteful number, since it uses less digits than its factorization.

125320044400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37706 (or 37695 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 125320044400 its reverse (4440023521), we get a palindrome (129760067921).

The spelling of 125320044400 in words is "one hundred twenty-five billion, three hundred twenty million, forty-four thousand, four hundred".