22401120000 has 720 divisors, whose sum is σ = 87353038080. Its totient is φ = 4988928000.

The previous prime is 22401119989. The next prime is 22401120013. The reversal of 22401120000 is 2110422.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 198239944 + ... + 198240056.

It is an arithmetic number, because the mean of its divisors is an integer number (121323664).

Almost surely, 2^22401120000 is an apocalyptic number.

22401120000 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 22401120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43676519040).

22401120000 is an abundant number, since it is smaller than the sum of its proper divisors (64951918080).

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

22401120000 is an equidigital number, since it uses as much as digits as its factorization.

22401120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 22401120000 its reverse (2110422), we get a palindrome (22403230422).

The spelling of 22401120000 in words is "twenty-two billion, four hundred one million, one hundred twenty thousand".