21312122121312 has 432 divisors, whose sum is σ = 63799082435088. Its totient is φ = 6220177920000.

The previous prime is 21312122121281. The next prime is 21312122121337.

21312122121312 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4384305762 + ... + 4384310622.

Almost surely, 2^{21312122121312} is an apocalyptic number.

21312122121312 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 21312122121312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31899541217544).

21312122121312 is an abundant number, since it is smaller than the sum of its proper divisors (42486960313776).

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

21312122121312 is a wasteful number, since it uses less digits than its factorization.

21312122121312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5135 (or 5015 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

It can be divided in two parts, 2131212 and 2121312, that added together give a palindrome (4252524).

The spelling of 21312122121312 in words is "twenty-one trillion, three hundred twelve billion, one hundred twenty-two million, one hundred twenty-one thousand, three hundred twelve".