123878120 has 32 divisors (see below), whose sum is σ = 279243720. Its totient is φ = 49459200.

The previous prime is 123878107. The next prime is 123878147. The reversal of 123878120 is 21878321.

It can be written as a sum of positive squares in 4 ways, for example, as 118504996 + 5373124 = 10886^2 + 2318^2 .

It is a super-2 number, since 2×123878120² = 30691577229468800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

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, 21464 + ... + 26616.

Almost surely, 2^123878120 is an apocalyptic number.

123878120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123878120 is an abundant number, since it is smaller than the sum of its proper divisors (155365600).

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

123878120 is a wasteful number, since it uses less digits than its factorization.

123878120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5765 (or 5761 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 123878120 is about 11130.0548066935. The cubic root of 123878120 is about 498.4996624777.

The spelling of 123878120 in words is "one hundred twenty-three million, eight hundred seventy-eight thousand, one hundred twenty".