123315920 has 120 divisors (see below), whose sum is σ = 355084416. Its totient is φ = 38997504.

The previous prime is 123315911. The next prime is 123315967. The reversal of 123315920 is 29513321.

It is a super-2 number, since 2×123315920² = 30413632250892800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 123315920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93989 + ... + 95291.

Almost surely, 2^123315920 is an apocalyptic number.

123315920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123315920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177542208).

123315920 is an abundant number, since it is smaller than the sum of its proper divisors (231768496).

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

123315920 is a wasteful number, since it uses less digits than its factorization.

123315920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1349 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 26.

The square root of 123315920 is about 11104.7701462029. The cubic root of 123315920 is about 497.7443998370.

The spelling of 123315920 in words is "one hundred twenty-three million, three hundred fifteen thousand, nine hundred twenty".