22121241600 has 264 divisors, whose sum is σ = 73787799600. Its totient is φ = 5844500480.

The previous prime is 22121241581. The next prime is 22121241617. The reversal of 22121241600 is 614212122.

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 23 ways as a sum of consecutive naturals, for example, 8677126 + ... + 8679674.

Almost surely, 2^22121241600 is an apocalyptic number.

22121241600 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 22121241600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36893899800).

22121241600 is an abundant number, since it is smaller than the sum of its proper divisors (51666558000).

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

22121241600 is a wasteful number, since it uses less digits than its factorization.

22121241600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2695 (or 2672 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 22121241600 its reverse (614212122), we get a palindrome (22735453722).

The spelling of 22121241600 in words is "twenty-two billion, one hundred twenty-one million, two hundred forty-one thousand, six hundred".