22132124200314 has 96 divisors (see below), whose sum is σ = 51967245268224. Its totient is φ = 6780270551040.

The previous prime is 22132124200309. The next prime is 22132124200343. The reversal of 22132124200314 is 41300242123122.

22132124200314 is a `hidden beast` number, since 2 + 2 + 1 + 321 + 2 + 4 + 20 + 0 + 314 = 666.

It is a super-2 number, since 2×22132124200314² (a number of 27 digits) contains 22 as substring.

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, 53887962 + ... + 54297114.

It is an arithmetic number, because the mean of its divisors is an integer number (541325471544).

Almost surely, 2^{22132124200314} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22132124200314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25983622634112).

22132124200314 is an abundant number, since it is smaller than the sum of its proper divisors (29835121067910).

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

22132124200314 is a wasteful number, since it uses less digits than its factorization.

22132124200314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413332 (or 413329 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 22132124200314 its reverse (41300242123122), we get a palindrome (63432366323436).

The spelling of 22132124200314 in words is "twenty-two trillion, one hundred thirty-two billion, one hundred twenty-four million, two hundred thousand, three hundred fourteen".