125220096800 has 54 divisors (see below), whose sum is σ = 305717997249. Its totient is φ = 50084035200.

The previous prime is 125220096787. The next prime is 125220096803. The reversal of 125220096800 is 8690022521.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 122715694864 + 2504401936 = 350308^2 + 50044^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=250220.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (125220096803) 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 8 ways as a sum of consecutive naturals, for example, 10002545 + ... + 10015055.

Almost surely, 2^125220096800 is an apocalyptic number.

125220096800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125220096800 is an abundant number, since it is smaller than the sum of its proper divisors (180497900449).

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

125220096800 is an frugal number, since it uses more digits than its factorization.

125220096800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25042 (or 12518 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The spelling of 125220096800 in words is "one hundred twenty-five billion, two hundred twenty million, ninety-six thousand, eight hundred".