21312433421312 has 176 divisors, whose sum is σ = 46697830421760. Its totient is φ = 9641533440000.

The previous prime is 21312433421303. The next prime is 21312433421359.

21312433421312 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (176).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5764789448 + ... + 5764793144.

Almost surely, 2^{21312433421312} is an apocalyptic number.

21312433421312 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 21312433421312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23348915210880).

21312433421312 is an abundant number, since it is smaller than the sum of its proper divisors (25385397000448).

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

21312433421312 is a wasteful number, since it uses less digits than its factorization.

21312433421312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6018 (or 6000 counting only the distinct ones).

The product of its digits is 20736, while the sum is 32.

It can be divided in two parts, 2131243 and 3421312, that added together give a palindrome (5552555).

The spelling of 21312433421312 in words is "twenty-one trillion, three hundred twelve billion, four hundred thirty-three million, four hundred twenty-one thousand, three hundred twelve".