124400352 has 96 divisors (see below), whose sum is σ = 338688000. Its totient is φ = 39955968.

The previous prime is 124400323. The next prime is 124400371. The reversal of 124400352 is 253004421.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 356274 + ... + 356622.

It is an arithmetic number, because the mean of its divisors is an integer number (3528000).

Almost surely, 2^124400352 is an apocalyptic number.

124400352 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 124400352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169344000).

124400352 is an abundant number, since it is smaller than the sum of its proper divisors (214287648).

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

124400352 is a wasteful number, since it uses less digits than its factorization.

124400352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 124400352 is about 11153.4905747035. The cubic root of 124400352 is about 499.1991874165.

Adding to 124400352 its reverse (253004421), we get a palindrome (377404773).

The spelling of 124400352 in words is "one hundred twenty-four million, four hundred thousand, three hundred fifty-two".