22132312400 has 120 divisors (see below), whose sum is σ = 59101869024. Its totient is φ = 7896179200.

The previous prime is 22132312369. The next prime is 22132312409. The reversal of 22132312400 is 421323122.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22132312409) 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 23 ways as a sum of consecutive naturals, for example, 185747 + ... + 280653.

Almost surely, 2^22132312400 is an apocalyptic number.

22132312400 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 22132312400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29550934512).

22132312400 is an abundant number, since it is smaller than the sum of its proper divisors (36969556624).

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

22132312400 is a wasteful number, since it uses less digits than its factorization.

22132312400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94989 (or 94978 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 22132312400 its reverse (421323122), we get a palindrome (22553635522).

The spelling of 22132312400 in words is "twenty-two billion, one hundred thirty-two million, three hundred twelve thousand, four hundred".