22431133305120 has 384 divisors, whose sum is σ = 76307249733120. Its totient is φ = 5524456734720.

The previous prime is 22431133305107. The next prime is 22431133305131. The reversal of 22431133305120 is 2150333113422.

It is a super-3 number, since 3×22431133305120³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 43650636 + ... + 44161524.

It is an arithmetic number, because the mean of its divisors is an integer number (198716796180).

Almost surely, 2^{22431133305120} is an apocalyptic number.

22431133305120 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 22431133305120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38153624866560).

22431133305120 is an abundant number, since it is smaller than the sum of its proper divisors (53876116428000).

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

22431133305120 is a wasteful number, since it uses less digits than its factorization.

22431133305120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511068 (or 511060 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 22431133305120 its reverse (2150333113422), we get a palindrome (24581466418542).

The spelling of 22431133305120 in words is "twenty-two trillion, four hundred thirty-one billion, one hundred thirty-three million, three hundred five thousand, one hundred twenty".