125205421200 has 60 divisors (see below), whose sum is σ = 401074703088. Its totient is φ = 33388112000.

The previous prime is 125205421177. The next prime is 125205421207. The reversal of 125205421200 is 2124502521.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-4 number, since 4×125205421200⁴ (a number of 45 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (125205421207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52167726 + ... + 52170125.

Almost surely, 2^125205421200 is an apocalyptic number.

125205421200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125205421200 is an abundant number, since it is smaller than the sum of its proper divisors (275869281888).

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

125205421200 is a wasteful number, since it uses less digits than its factorization.

125205421200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104337872 (or 104337861 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

Adding to 125205421200 its reverse (2124502521), we get a palindrome (127329923721).

The spelling of 125205421200 in words is "one hundred twenty-five billion, two hundred five million, four hundred twenty-one thousand, two hundred".