123914880 has 256 divisors, whose sum is σ = 449452800. Its totient is φ = 32256000.

The previous prime is 123914873. The next prime is 123914891. The reversal of 123914880 is 88419321.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1226830 + ... + 1226930.

It is an arithmetic number, because the mean of its divisors is an integer number (1755675).

Almost surely, 2^123914880 is an apocalyptic number.

123914880 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 123914880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224726400).

123914880 is an abundant number, since it is smaller than the sum of its proper divisors (325537920).

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

123914880 is a wasteful number, since it uses less digits than its factorization.

123914880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 123914880 is about 11131.7060687030. The cubic root of 123914880 is about 498.5489664099.

It can be divided in two parts, 12391 and 4880, that added together give a palindrome (17271).

The spelling of 123914880 in words is "one hundred twenty-three million, nine hundred fourteen thousand, eight hundred eighty".