21330003312 has 120 divisors (see below), whose sum is σ = 61488772800. Its totient is φ = 6897415680.

The previous prime is 21330003287. The next prime is 21330003323.

21330003312 is a `hidden beast` number, since 2 + 1 + 330 + 0 + 0 + 331 + 2 = 666.

21330003312 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1853737 + ... + 1865207.

It is an arithmetic number, because the mean of its divisors is an integer number (512406440).

Almost surely, 2^21330003312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21330003312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30744386400).

21330003312 is an abundant number, since it is smaller than the sum of its proper divisors (40158769488).

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

21330003312 is a wasteful number, since it uses less digits than its factorization.

21330003312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11871 (or 11862 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

It can be divided in two parts, 2133000 and 3312, that added together give a palindrome (2136312).

The spelling of 21330003312 in words is "twenty-one billion, three hundred thirty million, three thousand, three hundred twelve".