12113010013200 has 480 divisors, whose sum is σ = 41315100426240. Its totient is φ = 3025025740800.

The previous prime is 12113010013163. The next prime is 12113010013229. The reversal of 12113010013200 is 231001031121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12113010013200.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 813656157 + ... + 813671043.

It is an arithmetic number, because the mean of its divisors is an integer number (86073125888).

Almost surely, 2^{12113010013200} is an apocalyptic number.

12113010013200 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 12113010013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20657550213120).

12113010013200 is an abundant number, since it is smaller than the sum of its proper divisors (29202090413040).

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

12113010013200 is a wasteful number, since it uses less digits than its factorization.

12113010013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15335 (or 15324 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 12113010013200 its reverse (231001031121), we get a palindrome (12344011044321).

The spelling of 12113010013200 in words is "twelve trillion, one hundred thirteen billion, ten million, thirteen thousand, two hundred".