22132310031200 has 144 divisors (see below), whose sum is σ = 54644380192080. Its totient is φ = 8752364544000.

The previous prime is 22132310031133. The next prime is 22132310031277. The reversal of 22132310031200 is 213001323122.

It is a super-2 number, since 2×22132310031200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 812449580 + ... + 812476820.

It is an arithmetic number, because the mean of its divisors is an integer number (379474862445).

Almost surely, 2^{22132310031200} is an apocalyptic number.

22132310031200 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 22132310031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27322190096040).

22132310031200 is an abundant number, since it is smaller than the sum of its proper divisors (32512070160880).

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

22132310031200 is a wasteful number, since it uses less digits than its factorization.

22132310031200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38761 (or 38748 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 22132310031200 its reverse (213001323122), we get a palindrome (22345311354322).

The spelling of 22132310031200 in words is "twenty-two trillion, one hundred thirty-two billion, three hundred ten million, thirty-one thousand, two hundred".