21121233212112 has 160 divisors (see below), whose sum is σ = 60163639709184. Its totient is φ = 6331646016000.

The previous prime is 21121233212089. The next prime is 21121233212141.

21121233212112 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×21121233212112² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 31 ways as a sum of consecutive naturals, for example, 63133503 + ... + 63467169.

Almost surely, 2^{21121233212112} is an apocalyptic number.

21121233212112 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 21121233212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30081819854592).

21121233212112 is an abundant number, since it is smaller than the sum of its proper divisors (39042406497072).

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

21121233212112 is a wasteful number, since it uses less digits than its factorization.

21121233212112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334977 (or 334971 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

It can be divided in two parts, 2112123 and 3212112, that added together give a palindrome (5324235).

The spelling of 21121233212112 in words is "twenty-one trillion, one hundred twenty-one billion, two hundred thirty-three million, two hundred twelve thousand, one hundred twelve".