21123700732112 has 80 divisors (see below), whose sum is σ = 45407789697600. Its totient is φ = 9438271365120.

The previous prime is 21123700732073. The next prime is 21123700732133.

21123700732112 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 164096318 + ... + 164224994.

It is an arithmetic number, because the mean of its divisors is an integer number (567597371220).

Almost surely, 2^{21123700732112} is an apocalyptic number.

21123700732112 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 21123700732112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22703894848800).

21123700732112 is an abundant number, since it is smaller than the sum of its proper divisors (24284088965488).

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

21123700732112 is a wasteful number, since it uses less digits than its factorization.

21123700732112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144564 (or 144558 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 32.

It can be divided in two parts, 21123700 and 732112, that added together give a palindrome (21855812).

The spelling of 21123700732112 in words is "twenty-one trillion, one hundred twenty-three billion, seven hundred million, seven hundred thirty-two thousand, one hundred twelve".