21123300332112 has 320 divisors, whose sum is σ = 61845829613568. Its totient is φ = 6156331776000.

The previous prime is 21123300332111. The next prime is 21123300332191.

21123300332112 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (21123300332111) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 590496787 + ... + 590532557.

Almost surely, 2^{21123300332112} is an apocalyptic number.

21123300332112 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 21123300332112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30922914806784).

21123300332112 is an abundant number, since it is smaller than the sum of its proper divisors (40722529281456).

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

21123300332112 is a wasteful number, since it uses less digits than its factorization.

21123300332112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36178 (or 36172 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 21123300 and 332112, that added together give a palindrome (21455412).

The spelling of 21123300332112 in words is "twenty-one trillion, one hundred twenty-three billion, three hundred million, three hundred thirty-two thousand, one hundred twelve".