22122102400 has 96 divisors (see below), whose sum is σ = 55048491180. Its totient is φ = 8784076800.

The previous prime is 22122102377. The next prime is 22122102413. The reversal of 22122102400 is 420122122.

It can be written as a sum of positive squares in 6 ways, for example, as 12610391616 + 9511710784 = 112296^2 + 97528^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 413170 + ... + 463630.

Almost surely, 2^22122102400 is an apocalyptic number.

22122102400 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 22122102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27524245590).

22122102400 is an abundant number, since it is smaller than the sum of its proper divisors (32926388780).

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

22122102400 is a wasteful number, since it uses less digits than its factorization.

22122102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50622 (or 50605 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 22122102400 its reverse (420122122), we get a palindrome (22542224522).

The spelling of 22122102400 in words is "twenty-two billion, one hundred twenty-two million, one hundred two thousand, four hundred".