123917472 has 144 divisors (see below), whose sum is σ = 420577920. Its totient is φ = 35392896.

The previous prime is 123917441. The next prime is 123917483. The reversal of 123917472 is 274719321.

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

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

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, 40873 + ... + 43799.

It is an arithmetic number, because the mean of its divisors is an integer number (2920680).

Almost surely, 2^123917472 is an apocalyptic number.

123917472 is a gapful number since it is divisible by the number (12) 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 123917472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210288960).

123917472 is an abundant number, since it is smaller than the sum of its proper divisors (296660448).

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

123917472 is a wasteful number, since it uses less digits than its factorization.

123917472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2960 (or 2939 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 123917472 is about 11131.8224922966. The cubic root of 123917472 is about 498.5524425324.

The spelling of 123917472 in words is "one hundred twenty-three million, nine hundred seventeen thousand, four hundred seventy-two".