123925120900 has 243 divisors, whose sum is σ = 322634838981. Its totient is φ = 41195958720.

The previous prime is 123925120861. The next prime is 123925120901. The reversal of 123925120900 is 9021529321.

The square root of 123925120900 is 352030.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 44613043524 + 79312077376 = 211218^2 + 281624^2 .

It is not an unprimeable number, because it can be changed into a prime (123925120901) 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 80 ways as a sum of consecutive naturals, for example, 1158178647 + ... + 1158178753.

Almost surely, 2^123925120900 is an apocalyptic number.

123925120900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

123925120900 is the 352030-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123925120900

123925120900 is an abundant number, since it is smaller than the sum of its proper divisors (198709718081).

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

123925120900 is a wasteful number, since it uses less digits than its factorization.

123925120900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 34.

The spelling of 123925120900 in words is "one hundred twenty-three billion, nine hundred twenty-five million, one hundred twenty thousand, nine hundred".