123032400 has 240 divisors, whose sum is σ = 431204544. Its totient is φ = 29859840.

The previous prime is 123032389. The next prime is 123032401. The reversal of 123032400 is 4230321.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 123032400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123032401) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 754719 + ... + 754881.

Almost surely, 2^123032400 is an apocalyptic number.

123032400 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 123032400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215602272).

123032400 is an abundant number, since it is smaller than the sum of its proper divisors (308172144).

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

123032400 is a wasteful number, since it uses less digits than its factorization.

123032400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 123032400 is about 11091.9971150375. The cubic root of 123032400 is about 497.3626465259.

Adding to 123032400 its reverse (4230321), we get a palindrome (127262721).

The spelling of 123032400 in words is "one hundred twenty-three million, thirty-two thousand, four hundred".