21122122122112 has 128 divisors (see below), whose sum is σ = 47905273912320. Its totient is φ = 9182609356800.

The previous prime is 21122122122091. The next prime is 21122122122121.

21122122122112 is nontrivially palindromic in base 10.

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

It is a super-2 number, since 2×21122122122112² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

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 (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 396774537 + ... + 396827767.

It is an arithmetic number, because the mean of its divisors is an integer number (374259952440).

Almost surely, 2^{21122122122112} is an apocalyptic number.

21122122122112 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 21122122122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23952636956160).

21122122122112 is an abundant number, since it is smaller than the sum of its proper divisors (26783151790208).

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

21122122122112 is a wasteful number, since it uses less digits than its factorization.

21122122122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65532 (or 65520 counting only the distinct ones).

The product of its digits is 256, while the sum is 22.

Multiplying 21122122122112 by its sum of digits (22), we get a palindrome (464686686686464).

It can be divided in two parts, 2112212 and 2122112, that added together give a palindrome (4234324).

The spelling of 21122122122112 in words is "twenty-one trillion, one hundred twenty-two billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred twelve".