123518880 has 144 divisors (see below), whose sum is σ = 435262464. Its totient is φ = 31864320.

The previous prime is 123518873. The next prime is 123518891. The reversal of 123518880 is 88815321.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 43257 + ... + 46023.

It is an arithmetic number, because the mean of its divisors is an integer number (3022656).

Almost surely, 2^123518880 is an apocalyptic number.

123518880 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 123518880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217631232).

123518880 is an abundant number, since it is smaller than the sum of its proper divisors (311743584).

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

123518880 is a wasteful number, since it uses less digits than its factorization.

123518880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2819 (or 2808 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 123518880 is about 11113.9048043431. The cubic root of 123518880 is about 498.0173216988.

The spelling of 123518880 in words is "one hundred twenty-three million, five hundred eighteen thousand, eight hundred eighty".