21123322332112 has 320 divisors, whose sum is σ = 55238464512000. Its totient is φ = 7557014384640.

The previous prime is 21123322332083. The next prime is 21123322332149.

21123322332112 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4543624764 + ... + 4543629412.

It is an arithmetic number, because the mean of its divisors is an integer number (172620201600).

Almost surely, 2^{21123322332112} is an apocalyptic number.

21123322332112 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 21123322332112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27619232256000).

21123322332112 is an abundant number, since it is smaller than the sum of its proper divisors (34115142179888).

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

21123322332112 is a wasteful number, since it uses less digits than its factorization.

21123322332112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6114 (or 6108 counting only the distinct ones).

The product of its digits is 5184, while the sum is 28.

It can be divided in two parts, 2112332 and 2332112, that added together give a palindrome (4444444).

The spelling of 21123322332112 in words is "twenty-one trillion, one hundred twenty-three billion, three hundred twenty-two million, three hundred thirty-two thousand, one hundred twelve".