22413214131200 has 528 divisors, whose sum is σ = 58309449384960. Its totient is φ = 8531066880000.

The previous prime is 22413214131157. The next prime is 22413214131263. The reversal of 22413214131200 is 213141231422.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 22413214131200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20320229849 + ... + 20320230951.

Almost surely, 2^{22413214131200} is an apocalyptic number.

22413214131200 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 22413214131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29154724692480).

22413214131200 is an abundant number, since it is smaller than the sum of its proper divisors (35896235253760).

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

22413214131200 is a wasteful number, since it uses less digits than its factorization.

22413214131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1534 (or 1511 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 22413214131200 its reverse (213141231422), we get a palindrome (22626355362622).

The spelling of 22413214131200 in words is "twenty-two trillion, four hundred thirteen billion, two hundred fourteen million, one hundred thirty-one thousand, two hundred".