123532400 has 60 divisors (see below), whose sum is σ = 302438232. Its totient is φ = 48472320.

The previous prime is 123532399. The next prime is 123532441. The reversal of 123532400 is 4235321.

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18287 + ... + 24113.

Almost surely, 2^123532400 is an apocalyptic number.

123532400 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 123532400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151219116).

123532400 is an abundant number, since it is smaller than the sum of its proper divisors (178905832).

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

123532400 is a wasteful number, since it uses less digits than its factorization.

123532400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5898 (or 5887 counting only the distinct ones).

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

The square root of 123532400 is about 11114.5130347668. The cubic root of 123532400 is about 498.0354915217.

Adding to 123532400 its reverse (4235321), we get a palindrome (127767721).

The spelling of 123532400 in words is "one hundred twenty-three million, five hundred thirty-two thousand, four hundred".