22121164800 has 936 divisors, whose sum is σ = 94645497856. Its totient is φ = 5016453120.

The previous prime is 22121164777. The next prime is 22121164831. The reversal of 22121164800 is 846112122.

22121164800 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 11 + 648 + 0 + 0 = 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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 174182337 + ... + 174182463.

Almost surely, 2^22121164800 is an apocalyptic number.

22121164800 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 22121164800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47322748928).

22121164800 is an abundant number, since it is smaller than the sum of its proper divisors (72524333056).

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

22121164800 is an equidigital number, since it uses as much as digits as its factorization.

22121164800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 22121164800 its reverse (846112122), we get a palindrome (22967276922).

The spelling of 22121164800 in words is "twenty-two billion, one hundred twenty-one million, one hundred sixty-four thousand, eight hundred".