21121122112112 has 80 divisors (see below), whose sum is σ = 45118919597184. Its totient is φ = 9498172320000.

The previous prime is 21121122112067. The next prime is 21121122112151.

It is a happy number.

21121122112112 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×21121122112112² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22778687 + ... + 23687777.

Almost surely, 2^{21121122112112} is an apocalyptic number.

21121122112112 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 21121122112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22559459798592).

21121122112112 is an abundant number, since it is smaller than the sum of its proper divisors (23997797485072).

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

21121122112112 is a wasteful number, since it uses less digits than its factorization.

21121122112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910518 (or 910512 counting only the distinct ones).

The product of its digits is 64, while the sum is 20.

It can be divided in two parts, 2112112 and 2112112, that added together give a palindrome (4224224).

The spelling of 21121122112112 in words is "twenty-one trillion, one hundred twenty-one billion, one hundred twenty-two million, one hundred twelve thousand, one hundred twelve".