22200013200 has 120 divisors (see below), whose sum is σ = 71550955168. Its totient is φ = 5883632640.

The previous prime is 22200013183. The next prime is 22200013201. The reversal of 22200013200 is 231000222.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (22200013201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138852 + ... + 252348.

Almost surely, 2^22200013200 is an apocalyptic number.

22200013200 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 22200013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35775477584).

22200013200 is an abundant number, since it is smaller than the sum of its proper divisors (49350941968).

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

22200013200 is a wasteful number, since it uses less digits than its factorization.

22200013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113681 (or 113670 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 22200013200 its reverse (231000222), we get a palindrome (22431013422).

The spelling of 22200013200 in words is "twenty-two billion, two hundred million, thirteen thousand, two hundred".