122125300 has 54 divisors (see below), whose sum is σ = 291322934. Its totient is φ = 44404800.

The previous prime is 122125279. The next prime is 122125301. The reversal of 122125300 is 3521221.

It can be written as a sum of positive squares in 3 ways, for example, as 7806436 + 114318864 = 2794^2 + 10692^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122125301) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7054 + ... + 17146.

Almost surely, 2^122125300 is an apocalyptic number.

122125300 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 122125300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145661467).

122125300 is an abundant number, since it is smaller than the sum of its proper divisors (169197634).

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

122125300 is a wasteful number, since it uses less digits than its factorization.

122125300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10129 (or 10111 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 122125300 is about 11051.0316260519. The cubic root of 122125300 is about 496.1373026492.

Adding to 122125300 its reverse (3521221), we get a palindrome (125646521).

The spelling of 122125300 in words is "one hundred twenty-two million, one hundred twenty-five thousand, three hundred".