12133112010 has 64 divisors (see below), whose sum is σ = 30243594240. Its totient is φ = 3111877440.

The previous prime is 12133112009. The next prime is 12133112021. The reversal of 12133112010 is 1021133121.

It is a happy number.

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

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, 111571 + ... + 191609.

It is an arithmetic number, because the mean of its divisors is an integer number (472556160).

Almost surely, 2^12133112010 is an apocalyptic number.

12133112010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12133112010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15121797120).

12133112010 is an abundant number, since it is smaller than the sum of its proper divisors (18110482230).

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

12133112010 is a wasteful number, since it uses less digits than its factorization.

12133112010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80243.

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

Adding to 12133112010 its reverse (1021133121), we get a palindrome (13154245131).

The spelling of 12133112010 in words is "twelve billion, one hundred thirty-three million, one hundred twelve thousand, ten".