22121311113132 has 384 divisors, whose sum is σ = 65818243104768. Its totient is φ = 5616598579200.

The previous prime is 22121311113127. The next prime is 22121311113179. The reversal of 22121311113132 is 23131111312122.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3601056853 + ... + 3601062995.

It is an arithmetic number, because the mean of its divisors is an integer number (171401674752).

Almost surely, 2^{22121311113132} is an apocalyptic number.

22121311113132 is a gapful number since it is divisible by the number (22) 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 22121311113132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32909121552384).

22121311113132 is an abundant number, since it is smaller than the sum of its proper divisors (43696931991636).

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

22121311113132 is a wasteful number, since it uses less digits than its factorization.

22121311113132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6709 (or 6707 counting only the distinct ones).

The product of its digits is 432, while the sum is 24.

Adding to 22121311113132 its reverse (23131111312122), we get a palindrome (45252422425254).

The spelling of 22121311113132 in words is "twenty-two trillion, one hundred twenty-one billion, three hundred eleven million, one hundred thirteen thousand, one hundred thirty-two".