21333122133312 has 224 divisors, whose sum is σ = 63309806880768. Its totient is φ = 6283630080000.

The previous prime is 21333122133311. The next prime is 21333122133343.

21333122133312 is nontrivially palindromic in base 10.

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 21333122133312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21333122133311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23011887 + ... + 23920977.

It is an arithmetic number, because the mean of its divisors is an integer number (282633066432).

Almost surely, 2^{21333122133312} is an apocalyptic number.

21333122133312 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 21333122133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31654903440384).

21333122133312 is an abundant number, since it is smaller than the sum of its proper divisors (41976684747456).

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

21333122133312 is a wasteful number, since it uses less digits than its factorization.

21333122133312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909429 (or 909419 counting only the distinct ones).

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

It can be divided in two parts, 2133312 and 2133312, that added together give a palindrome (4266624).

The spelling of 21333122133312 in words is "twenty-one trillion, three hundred thirty-three billion, one hundred twenty-two million, one hundred thirty-three thousand, three hundred twelve".