22431001120 has 192 divisors, whose sum is σ = 58729732992. Its totient is φ = 8028160000.

The previous prime is 22431001093. The next prime is 22431001139. The reversal of 22431001120 is 2110013422.

It is a super-2 number, since 2×22431001120² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 22431001094 and 22431001103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45684075 + ... + 45684565.

It is an arithmetic number, because the mean of its divisors is an integer number (305884026).

Almost surely, 2^22431001120 is an apocalyptic number.

22431001120 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 22431001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29364866496).

22431001120 is an abundant number, since it is smaller than the sum of its proper divisors (36298731872).

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

22431001120 is a wasteful number, since it uses less digits than its factorization.

22431001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 22431001120 its reverse (2110013422), we get a palindrome (24541014542).

The spelling of 22431001120 in words is "twenty-two billion, four hundred thirty-one million, one thousand, one hundred twenty".