124164616900 has 81 divisors (see below), whose sum is σ = 272351010477. Its totient is φ = 49134472800.

The previous prime is 124164616897. The next prime is 124164616963. The reversal of 124164616900 is 9616461421.

The square root of 124164616900 is 352370.

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., 44699262084 + 79465354816 = 211422^2 + 281896^2 .

It is a super-2 number, since 2×124164616900² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 588457795 + ... + 588458005.

Almost surely, 2^124164616900 is an apocalyptic number.

124164616900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

124164616900 is the 352370-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 124164616900

124164616900 is an abundant number, since it is smaller than the sum of its proper divisors (148186393577).

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

124164616900 is an equidigital number, since it uses as much as digits as its factorization.

124164616900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The spelling of 124164616900 in words is "one hundred twenty-four billion, one hundred sixty-four million, six hundred sixteen thousand, nine hundred".