21311222211312 has 160 divisors (see below), whose sum is σ = 60740172380160. Its totient is φ = 6384873600000.

The previous prime is 21311222211311. The next prime is 21311222211379.

21311222211312 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×21311222211312² (a number of 27 digits) contains 22 as substring.

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 not an unprimeable number, because it can be changed into a prime (21311222211311) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 37097889 + ... + 37667967.

It is an arithmetic number, because the mean of its divisors is an integer number (379626077376).

Almost surely, 2^{21311222211312} is an apocalyptic number.

21311222211312 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 21311222211312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30370086190080).

21311222211312 is an abundant number, since it is smaller than the sum of its proper divisors (39428950168848).

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

21311222211312 is a wasteful number, since it uses less digits than its factorization.

21311222211312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570903 (or 570897 counting only the distinct ones).

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

It can be divided in two parts, 2131122 and 2211312, that added together give a palindrome (4342434).

The spelling of 21311222211312 in words is "twenty-one trillion, three hundred eleven billion, two hundred twenty-two million, two hundred eleven thousand, three hundred twelve".