12111203313000 has 1152 divisors, whose sum is σ = 46215465753600. Its totient is φ = 2836778112000.

The previous prime is 12111203312959. The next prime is 12111203313017. The reversal of 12111203313000 is 31330211121.

12111203313000 is a `hidden beast` number, since 1 + 2 + 1 + 11 + 20 + 331 + 300 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 287 ways as a sum of consecutive naturals, for example, 19952558697 + ... + 19952559303.

It is an arithmetic number, because the mean of its divisors is an integer number (40117591800).

Almost surely, 2^{12111203313000} is an apocalyptic number.

12111203313000 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 12111203313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23107732876800).

12111203313000 is an abundant number, since it is smaller than the sum of its proper divisors (34104262440600).

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

12111203313000 is a wasteful number, since it uses less digits than its factorization.

12111203313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 12111203313000 its reverse (31330211121), we get a palindrome (12142533524121).

The spelling of 12111203313000 in words is "twelve trillion, one hundred eleven billion, two hundred three million, three hundred thirteen thousand".