22129459200 has 900 divisors, whose sum is σ = 88494492240. Its totient is φ = 5449973760.

The previous prime is 22129459169. The next prime is 22129459207. The reversal of 22129459200 is 295492122.

It is a tau number, because it is divible by the number of its divisors (900).

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 (22129459207) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 763084786 + ... + 763084814.

Almost surely, 2^22129459200 is an apocalyptic number.

22129459200 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 22129459200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44247246120).

22129459200 is an abundant number, since it is smaller than the sum of its proper divisors (66365033040).

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

22129459200 is an equidigital number, since it uses as much as digits as its factorization.

22129459200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 22129459200 in words is "twenty-two billion, one hundred twenty-nine million, four hundred fifty-nine thousand, two hundred".