12310002100032 has 224 divisors, whose sum is σ = 40173398732544. Its totient is φ = 3239549337600.

The previous prime is 12310002100031. The next prime is 12310002100063. The reversal of 12310002100032 is 23000120001321.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 12310002099984 and 12310002100020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12310002100031) 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, 7290432 + ... + 8818752.

It is an arithmetic number, because the mean of its divisors is an integer number (179345530056).

Almost surely, 2^{12310002100032} is an apocalyptic number.

12310002100032 is a gapful number since it is divisible by the number (12) 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 12310002100032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20086699366272).

12310002100032 is an abundant number, since it is smaller than the sum of its proper divisors (27863396632512).

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

12310002100032 is a wasteful number, since it uses less digits than its factorization.

12310002100032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1528817 (or 1528807 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12310002100032 its reverse (23000120001321), we get a palindrome (35310122101353).

The spelling of 12310002100032 in words is "twelve trillion, three hundred ten billion, two million, one hundred thousand, thirty-two".