22112431224000 has 448 divisors, whose sum is σ = 78651202331520. Its totient is φ = 5441717452800.

The previous prime is 22112431223999. The next prime is 22112431224043. The reversal of 22112431224000 is 42213421122.

It is a super-2 number, since 2×22112431224000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1993362454 + ... + 1993373546.

It is an arithmetic number, because the mean of its divisors is an integer number (175560719490).

Almost surely, 2^{22112431224000} is an apocalyptic number.

22112431224000 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 22112431224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39325601165760).

22112431224000 is an abundant number, since it is smaller than the sum of its proper divisors (56538771107520).

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

22112431224000 is a wasteful number, since it uses less digits than its factorization.

22112431224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17525 (or 17505 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 22112431224000 its reverse (42213421122), we get a palindrome (22154644645122).

The spelling of 22112431224000 in words is "twenty-two trillion, one hundred twelve billion, four hundred thirty-one million, two hundred twenty-four thousand".