21302220312 has 96 divisors (see below), whose sum is σ = 59025451680. Its totient is φ = 6938588160.

The previous prime is 21302220287. The next prime is 21302220323.

21302220312 is a `hidden beast` number, since 2 + 130 + 2 + 220 + 312 = 666.

21302220312 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 559218 + ... + 596094.

It is an arithmetic number, because the mean of its divisors is an integer number (614848455).

Almost surely, 2^21302220312 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 21302220312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29512725840).

21302220312 is an abundant number, since it is smaller than the sum of its proper divisors (37723231368).

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

21302220312 is a wasteful number, since it uses less digits than its factorization.

21302220312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37073 (or 37066 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The spelling of 21302220312 in words is "twenty-one billion, three hundred two million, two hundred twenty thousand, three hundred twelve".