23221112400 has 300 divisors, whose sum is σ = 83990231424. Its totient is φ = 6143904000.

The previous prime is 23221112381. The next prime is 23221112419. The reversal of 23221112400 is 421112232.

It is a happy number.

23221112400 is a `hidden beast` number, since 232 + 21 + 1 + 12 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (23221112381) and next prime (23221112419).

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-2 number, since 2×23221112400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 59 ways as a sum of consecutive naturals, for example, 4241665 + ... + 4247135.

Almost surely, 2^23221112400 is an apocalyptic number.

23221112400 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 23221112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41995115712).

23221112400 is an abundant number, since it is smaller than the sum of its proper divisors (60769119024).

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

23221112400 is a wasteful number, since it uses less digits than its factorization.

23221112400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5632 (or 5612 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 23221112400 its reverse (421112232), we get a palindrome (23642224632).

The spelling of 23221112400 in words is "twenty-three billion, two hundred twenty-one million, one hundred twelve thousand, four hundred".