22430619120 has 320 divisors, whose sum is σ = 86864440320. Its totient is φ = 4661673984.

The previous prime is 22430619097. The next prime is 22430619131. The reversal of 22430619120 is 2191603422.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1455616 + ... + 1470944.

It is an arithmetic number, because the mean of its divisors is an integer number (271451376).

Almost surely, 2^22430619120 is an apocalyptic number.

22430619120 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 22430619120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43432220160).

22430619120 is an abundant number, since it is smaller than the sum of its proper divisors (64433821200).

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

22430619120 is a wasteful number, since it uses less digits than its factorization.

22430619120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15432 (or 15426 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 22430619120 in words is "twenty-two billion, four hundred thirty million, six hundred nineteen thousand, one hundred twenty".