21333222233312 has 96 divisors (see below), whose sum is σ = 46696104655200. Its totient is φ = 9512826624000.

The previous prime is 21333222233311. The next prime is 21333222233329.

21333222233312 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21333222233311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1122614 + ... + 6627722.

It is an arithmetic number, because the mean of its divisors is an integer number (486417756825).

Almost surely, 2^{21333222233312} is an apocalyptic number.

21333222233312 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 21333222233312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23348052327600).

21333222233312 is an abundant number, since it is smaller than the sum of its proper divisors (25362882421888).

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

21333222233312 is a wasteful number, since it uses less digits than its factorization.

21333222233312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5505340 (or 5505332 counting only the distinct ones).

The product of its digits is 46656, while the sum is 32.

It can be divided in two parts, 2133322 and 2233312, that added together give a palindrome (4366634).

The spelling of 21333222233312 in words is "twenty-one trillion, three hundred thirty-three billion, two hundred twenty-two million, two hundred thirty-three thousand, three hundred twelve".