21322122122312 has 32 divisors (see below), whose sum is σ = 43714155552480. Its totient is φ = 9669490594560.

The previous prime is 21322122122177. The next prime is 21322122122401.

21322122122312 is nontrivially palindromic in base 10.

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 7 ways as a sum of consecutive naturals, for example, 279750398 + ... + 279826605.

It is an arithmetic number, because the mean of its divisors is an integer number (1366067361015).

Almost surely, 2^{21322122122312} is an apocalyptic number.

21322122122312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21322122122312 is an abundant number, since it is smaller than the sum of its proper divisors (22392033430168).

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

21322122122312 is a wasteful number, since it uses less digits than its factorization.

21322122122312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559577453 (or 559577449 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

It can be divided in two parts, 2132212 and 2122312, that added together give a palindrome (4254524).

The spelling of 21322122122312 in words is "twenty-one trillion, three hundred twenty-two billion, one hundred twenty-two million, one hundred twenty-two thousand, three hundred twelve".