23012400 has 120 divisors (see below), whose sum is σ = 74788864. Its totient is φ = 6048000.

The previous prime is 23012393. The next prime is 23012411. The reversal of 23012400 is 421032.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152325 + ... + 152475.

Almost surely, 2^23012400 is an apocalyptic number.

23012400 is a gapful number since it is divisible by the number (20) 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 23012400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37394432).

23012400 is an abundant number, since it is smaller than the sum of its proper divisors (51776464).

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

23012400 is a wasteful number, since it uses less digits than its factorization.

23012400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 23012400 is about 4797.1241384813. The cubic root of 23012400 is about 284.4377959781.

Adding to 23012400 its reverse (421032), we get a palindrome (23433432).

The spelling of 23012400 in words is "twenty-three million, twelve thousand, four hundred".