21113231112 has 192 divisors, whose sum is σ = 59142798000. Its totient is φ = 6802071552.

The previous prime is 21113231077. The next prime is 21113231147.

21113231112 is a `hidden beast` number, since 211 + 132 + 311 + 12 = 666.

21113231112 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (21113231077) and next prime (21113231147).

It can be written as a sum of positive squares in 8 ways, for example, as 8793563076 + 12319668036 = 93774^2 + 110994^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

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, 78487714 + ... + 78487982.

Almost surely, 2^21113231112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21113231112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29571399000).

21113231112 is an abundant number, since it is smaller than the sum of its proper divisors (38029566888).

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

21113231112 is a wasteful number, since it uses less digits than its factorization.

21113231112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 593 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

The spelling of 21113231112 in words is "twenty-one billion, one hundred thirteen million, two hundred thirty-one thousand, one hundred twelve".