22212313200 has 720 divisors, whose sum is σ = 96800161536. Its totient is φ = 4582195200.

The previous prime is 22212313183. The next prime is 22212313213. The reversal of 22212313200 is 231321222.

22212313200 is a `hidden beast` number, since 222 + 123 + 1 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 143 ways as a sum of consecutive naturals, for example, 62924224 + ... + 62924576.

Almost surely, 2^22212313200 is an apocalyptic number.

22212313200 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 22212313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48400080768).

22212313200 is an abundant number, since it is smaller than the sum of its proper divisors (74587848336).

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

22212313200 is a wasteful number, since it uses less digits than its factorization.

22212313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 22212313200 its reverse (231321222), we get a palindrome (22443634422).

The spelling of 22212313200 in words is "twenty-two billion, two hundred twelve million, three hundred thirteen thousand, two hundred".