22412709120 has 144 divisors (see below), whose sum is σ = 72444036672. Its totient is φ = 5904629760.

The previous prime is 22412709119. The next prime is 22412709161. The reversal of 22412709120 is 2190721422.

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 15 ways as a sum of consecutive naturals, for example, 283560 + ... + 353880.

It is an arithmetic number, because the mean of its divisors is an integer number (503083588).

Almost surely, 2^22412709120 is an apocalyptic number.

22412709120 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 22412709120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36222018336).

22412709120 is an abundant number, since it is smaller than the sum of its proper divisors (50031327552).

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

22412709120 is an equidigital number, since it uses as much as digits as its factorization.

22412709120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70428 (or 70414 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The spelling of 22412709120 in words is "twenty-two billion, four hundred twelve million, seven hundred nine thousand, one hundred twenty".