12013331040 has 144 divisors (see below), whose sum is σ = 41040666576. Its totient is φ = 3200025600.

The previous prime is 12013331009. The next prime is 12013331059. The reversal of 12013331040 is 4013331021.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1466155 + ... + 1474325.

It is an arithmetic number, because the mean of its divisors is an integer number (285004629).

Almost surely, 2^12013331040 is an apocalyptic number.

12013331040 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 12013331040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20520333288).

12013331040 is an abundant number, since it is smaller than the sum of its proper divisors (29027335536).

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

12013331040 is a wasteful number, since it uses less digits than its factorization.

12013331040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9213 (or 9202 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12013331040 its reverse (4013331021), we get a palindrome (16026662061).

The spelling of 12013331040 in words is "twelve billion, thirteen million, three hundred thirty-one thousand, forty".