22129825200 has 240 divisors, whose sum is σ = 81994918656. Its totient is φ = 4997145600.

The previous prime is 22129825189. The next prime is 22129825213. The reversal of 22129825200 is 252892122.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 681330 + ... + 713070.

Almost surely, 2^22129825200 is an apocalyptic number.

22129825200 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 22129825200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40997459328).

22129825200 is an abundant number, since it is smaller than the sum of its proper divisors (59865093456).

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

22129825200 is a wasteful number, since it uses less digits than its factorization.

22129825200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31852 (or 31841 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The spelling of 22129825200 in words is "twenty-two billion, one hundred twenty-nine million, eight hundred twenty-five thousand, two hundred".