21123122132112 has 160 divisors (see below), whose sum is σ = 73266213995520. Its totient is φ = 5064484815360.

The previous prime is 21123122132087. The next prime is 21123122132117.

21123122132112 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 not an unprimeable number, because it can be changed into a prime (21123122132117) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 219764662 + ... + 219860757.

It is an arithmetic number, because the mean of its divisors is an integer number (457913837472).

Almost surely, 2^{21123122132112} is an apocalyptic number.

21123122132112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21123122132112 is an abundant number, since it is smaller than the sum of its proper divisors (52143091863408).

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

21123122132112 is a wasteful number, since it uses less digits than its factorization.

21123122132112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439625461 (or 439625455 counting only the distinct ones).

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

It can be divided in two parts, 2112312 and 2132112, that added together give a palindrome (4244424).

The spelling of 21123122132112 in words is "twenty-one trillion, one hundred twenty-three billion, one hundred twenty-two million, one hundred thirty-two thousand, one hundred twelve".