123961872 has 40 divisors (see below), whose sum is σ = 321541920. Its totient is φ = 41152000.

The previous prime is 123961853. The next prime is 123961883. The reversal of 123961872 is 278169321.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 123961872.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6904 + ... + 17192.

It is an arithmetic number, because the mean of its divisors is an integer number (8038548).

Almost surely, 2^123961872 is an apocalyptic number.

123961872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123961872 is an abundant number, since it is smaller than the sum of its proper divisors (197580048).

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

123961872 is a wasteful number, since it uses less digits than its factorization.

123961872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10551 (or 10545 counting only the distinct ones).

The product of its digits is 36288, while the sum is 39.

The square root of 123961872 is about 11133.8165962980. The cubic root of 123961872 is about 498.6119796982.

The spelling of 123961872 in words is "one hundred twenty-three million, nine hundred sixty-one thousand, eight hundred seventy-two".