12113002100320 has 192 divisors, whose sum is σ = 31889401427520. Its totient is φ = 4310497484800.

The previous prime is 12113002100299. The next prime is 12113002100363. The reversal of 12113002100320 is 2300120031121.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 12113002100294 and 12113002100303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36119010 + ... + 36452830.

It is an arithmetic number, because the mean of its divisors is an integer number (166090632435).

Almost surely, 2^{12113002100320} is an apocalyptic number.

12113002100320 is a gapful number since it is divisible by the number (10) 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 12113002100320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15944700713760).

12113002100320 is an abundant number, since it is smaller than the sum of its proper divisors (19776399327200).

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

12113002100320 is a wasteful number, since it uses less digits than its factorization.

12113002100320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334289 (or 334281 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 12113002100320 its reverse (2300120031121), we get a palindrome (14413122131441).

The spelling of 12113002100320 in words is "twelve trillion, one hundred thirteen billion, two million, one hundred thousand, three hundred twenty".