22121092224 has 640 divisors, whose sum is σ = 83115964800. Its totient is φ = 5720647680.

The previous prime is 22121092219. The next prime is 22121092339. The reversal of 22121092224 is 42229012122.

22121092224 is a `hidden beast` number, since 221 + 210 + 9 + 2 + 224 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 79 ways as a sum of consecutive naturals, for example, 96598542 + ... + 96598770.

It is an arithmetic number, because the mean of its divisors is an integer number (129868695).

Almost surely, 2^22121092224 is an apocalyptic number.

22121092224 is a gapful number since it is divisible by the number (24) 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 22121092224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41557982400).

22121092224 is an abundant number, since it is smaller than the sum of its proper divisors (60994872576).

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

22121092224 is an equidigital number, since it uses as much as digits as its factorization.

22121092224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 22121092224 in words is "twenty-two billion, one hundred twenty-one million, ninety-two thousand, two hundred twenty-four".