12010113000 has 320 divisors, whose sum is σ = 43345336320. Its totient is φ = 3098736000.

The previous prime is 12010112987. The next prime is 12010113019. The reversal of 12010113000 is 31101021.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2508609 + ... + 2513391.

It is an arithmetic number, because the mean of its divisors is an integer number (135454176).

Almost surely, 2^12010113000 is an apocalyptic number.

12010113000 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 12010113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21672668160).

12010113000 is an abundant number, since it is smaller than the sum of its proper divisors (31335223320).

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

12010113000 is a wasteful number, since it uses less digits than its factorization.

12010113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4847 (or 4824 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 12010113000 its reverse (31101021), we get a palindrome (12041214021).

The spelling of 12010113000 in words is "twelve billion, ten million, one hundred thirteen thousand".