123120936 has 144 divisors (see below), whose sum is σ = 363739740. Its totient is φ = 37601280.

The previous prime is 123120923. The next prime is 123120971. The reversal of 123120936 is 639021321.

It can be written as a sum of positive squares in 6 ways, for example, as 57608100 + 65512836 = 7590^2 + 8094^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1269240 + ... + 1269336.

Almost surely, 2^123120936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123120936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181869870).

123120936 is an abundant number, since it is smaller than the sum of its proper divisors (240618804).

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

123120936 is a wasteful number, since it uses less digits than its factorization.

123120936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 123120936 is about 11095.9873828335. The cubic root of 123120936 is about 497.4819211800.

The spelling of 123120936 in words is "one hundred twenty-three million, one hundred twenty thousand, nine hundred thirty-six".