21312411421312 has 128 divisors (see below), whose sum is σ = 47088781750080. Its totient is φ = 9526361702400.

The previous prime is 21312411421291. The next prime is 21312411421391.

21312411421312 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 387069688 + ... + 387124744.

Almost surely, 2^{21312411421312} is an apocalyptic number.

21312411421312 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 21312411421312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23544390875040).

21312411421312 is an abundant number, since it is smaller than the sum of its proper divisors (25776370328768).

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

21312411421312 is a wasteful number, since it uses less digits than its factorization.

21312411421312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59650 (or 59638 counting only the distinct ones).

The product of its digits is 2304, while the sum is 28.

It can be divided in two parts, 2131241 and 1421312, that added together give a palindrome (3552553).

The spelling of 21312411421312 in words is "twenty-one trillion, three hundred twelve billion, four hundred eleven million, four hundred twenty-one thousand, three hundred twelve".