21321012312 has 96 divisors (see below), whose sum is σ = 60277741680. Its totient is φ = 6801511680.

The previous prime is 21321012301. The next prime is 21321012313.

21321012312 is a `hidden beast` number, since 21 + 321 + 0 + 12 + 312 = 666.

21321012312 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 not an unprimeable number, because it can be changed into a prime (21321012313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96903 + ... + 228105.

Almost surely, 2^21321012312 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 21321012312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30138870840).

21321012312 is an abundant number, since it is smaller than the sum of its proper divisors (38956729368).

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

21321012312 is a wasteful number, since it uses less digits than its factorization.

21321012312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131313 (or 131306 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

It can be divided in two parts, 213210 and 12312, that added together give a palindrome (225522).

The spelling of 21321012312 in words is "twenty-one billion, three hundred twenty-one million, twelve thousand, three hundred twelve".