22130899200 has 648 divisors, whose sum is σ = 85004200008. Its totient is φ = 5473566720.

The previous prime is 22130899177. The next prime is 22130899201. The reversal of 22130899200 is 299803122.

It can be written as a sum of positive squares in 12 ways, for example, as 6471880704 + 15659018496 = 80448^2 + 125136^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (22130899201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 94982284 + ... + 94982516.

It is an arithmetic number, because the mean of its divisors is an integer number (131179321).

Almost surely, 2^22130899200 is an apocalyptic number.

22130899200 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 22130899200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42502100004).

22130899200 is an abundant number, since it is smaller than the sum of its proper divisors (62873300808).

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

22130899200 is a wasteful number, since it uses less digits than its factorization.

22130899200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 22130899200 in words is "twenty-two billion, one hundred thirty million, eight hundred ninety-nine thousand, two hundred".