22400112000 has 512 divisors, whose sum is σ = 85593830400. Its totient is φ = 5076172800.

The previous prime is 22400111971. The next prime is 22400112013. The reversal of 22400112000 is 21100422.

It is a super-2 number, since 2×22400112000² (a number of 22 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 54767796 + ... + 54768204.

It is an arithmetic number, because the mean of its divisors is an integer number (167175450).

Almost surely, 2^22400112000 is an apocalyptic number.

22400112000 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 22400112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42796915200).

22400112000 is an abundant number, since it is smaller than the sum of its proper divisors (63193718400).

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

22400112000 is a wasteful number, since it uses less digits than its factorization.

22400112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 589 counting only the distinct ones).

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

Adding to 22400112000 its reverse (21100422), we get a palindrome (22421212422).

The spelling of 22400112000 in words is "twenty-two billion, four hundred million, one hundred twelve thousand".