22399125120 has 384 divisors, whose sum is σ = 79959709440. Its totient is φ = 5773565952.

The previous prime is 22399125097. The next prime is 22399125139. The reversal of 22399125120 is 2152199322.

22399125120 is a `hidden beast` number, since 22 + 39 + 91 + 2 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×22399125120² (a number of 22 digits) contains 22 as substring.

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

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, 48378009 + ... + 48378471.

It is an arithmetic number, because the mean of its divisors is an integer number (208228410).

Almost surely, 2^22399125120 is an apocalyptic number.

22399125120 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 22399125120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39979854720).

22399125120 is an abundant number, since it is smaller than the sum of its proper divisors (57560584320).

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

22399125120 is a wasteful number, since it uses less digits than its factorization.

22399125120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 22399125120 in words is "twenty-two billion, three hundred ninety-nine million, one hundred twenty-five thousand, one hundred twenty".