123150599960976 has 825 divisors, whose sum is σ = 419329968173249. Its totient is φ = 35034873318144.

The previous prime is 123150599960953. The next prime is 123150599960989. The reversal of 123150599960976 is 679069995051321.

The square root of 123150599960976 is 11097324.

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

123150599960976 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 5 + 0 + 5 + 9 + 9 + 9 + 609 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 25009400883600 + 98141199077376 = 5000940^2 + 9906624^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 164 ways as a sum of consecutive naturals, for example, 528543347356 + ... + 528543347588.

Almost surely, 2^{123150599960976} is an apocalyptic number.

123150599960976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

123150599960976 is the 11097324-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123150599960976

123150599960976 is an abundant number, since it is smaller than the sum of its proper divisors (296179368212273).

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

123150599960976 is an frugal number, since it uses more digits than its factorization.

123150599960976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 248005800, while the sum is 72.

The spelling of 123150599960976 in words is "one hundred twenty-three trillion, one hundred fifty billion, five hundred ninety-nine million, nine hundred sixty thousand, nine hundred seventy-six".