21333333333312 has 1344 divisors, whose sum is σ = 85163407999488. Its totient is φ = 4926873600000.

The previous prime is 21333333333287. The next prime is 21333333333329.

It is a happy number.

21333333333312 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 3 + 3 + 3 + 3 + 333 + 312 = 666.

21333333333312 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×21333333333312² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2154659562 + ... + 2154669462.

It is an arithmetic number, because the mean of its divisors is an integer number (63365630952).

Almost surely, 2^{21333333333312} is an apocalyptic number.

21333333333312 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 21333333333312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42581703999744).

21333333333312 is an abundant number, since it is smaller than the sum of its proper divisors (63830074666176).

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

21333333333312 is a wasteful number, since it uses less digits than its factorization.

21333333333312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10088 (or 10075 counting only the distinct ones).

The product of its digits is 236196, while the sum is 36.

It can be divided in two parts, 2133333 and 3333312, that added together give a palindrome (5466645).

The spelling of 21333333333312 in words is "twenty-one trillion, three hundred thirty-three billion, three hundred thirty-three million, three hundred thirty-three thousand, three hundred twelve".