22322012400 has 150 divisors (see below), whose sum is σ = 80112027512. Its totient is φ = 5952528000.

The previous prime is 22322012393. The next prime is 22322012413. The reversal of 22322012400 is 421022322.

22322012400 is a `hidden beast` number, since 2 + 232 + 20 + 12 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (150).

It is a super-3 number, since 3×22322012400³ (a number of 32 digits) contains 333 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 polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 312076 + ... + 376875.

Almost surely, 2^22322012400 is an apocalyptic number.

22322012400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22322012400 is an abundant number, since it is smaller than the sum of its proper divisors (57790015112).

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

22322012400 is a wasteful number, since it uses less digits than its factorization.

22322012400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688981 (or 688961 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 22322012400 its reverse (421022322), we get a palindrome (22743034722).

The spelling of 22322012400 in words is "twenty-two billion, three hundred twenty-two million, twelve thousand, four hundred".