22200927120 has 240 divisors, whose sum is σ = 77672736960. Its totient is φ = 5893212672.

The previous prime is 22200927083. The next prime is 22200927127. The reversal of 22200927120 is 2172900222.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (22200927127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4449267 + ... + 4454253.

It is an arithmetic number, because the mean of its divisors is an integer number (323636404).

Almost surely, 2^22200927120 is an apocalyptic number.

22200927120 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 22200927120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38836368480).

22200927120 is an abundant number, since it is smaller than the sum of its proper divisors (55471809840).

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

22200927120 is a wasteful number, since it uses less digits than its factorization.

22200927120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5244 (or 5226 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 22200927120 in words is "twenty-two billion, two hundred million, nine hundred twenty-seven thousand, one hundred twenty".