21133233233112 has 256 divisors, whose sum is σ = 71412824448000. Its totient is φ = 5032902113280.

The previous prime is 21133233233071. The next prime is 21133233233129.

21133233233112 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×21133233233112² (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 self number, because there is not a number n which added to its sum of digits gives 21133233233112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 627658 + ... + 6531494.

It is an arithmetic number, because the mean of its divisors is an integer number (278956345500).

Almost surely, 2^{21133233233112} is an apocalyptic number.

21133233233112 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 21133233233112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35706412224000).

21133233233112 is an abundant number, since it is smaller than the sum of its proper divisors (50279591214888).

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

21133233233112 is a wasteful number, since it uses less digits than its factorization.

21133233233112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5904026 (or 5904022 counting only the distinct ones).

The product of its digits is 11664, while the sum is 30.

It can be divided in two parts, 2113323 and 3233112, that added together give a palindrome (5346435).

The spelling of 21133233233112 in words is "twenty-one trillion, one hundred thirty-three billion, two hundred thirty-three million, two hundred thirty-three thousand, one hundred twelve".