123352400 has 60 divisors (see below), whose sum is σ = 297525600. Its totient is φ = 49146240.

The previous prime is 123352387. The next prime is 123352469. The reversal of 123352400 is 4253321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 11 ways as a sum of consecutive naturals, for example, 143171 + ... + 144029.

It is an arithmetic number, because the mean of its divisors is an integer number (4958760).

Almost surely, 2^123352400 is an apocalyptic number.

123352400 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 123352400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148762800).

123352400 is an abundant number, since it is smaller than the sum of its proper divisors (174173200).

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

123352400 is a wasteful number, since it uses less digits than its factorization.

123352400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 123352400 is about 11106.4125621192. The cubic root of 123352400 is about 497.7934768350.

The spelling of 123352400 in words is "one hundred twenty-three million, three hundred fifty-two thousand, four hundred".