12013041040 has 320 divisors, whose sum is σ = 38077562880. Its totient is φ = 3403192320.

The previous prime is 12013041017. The next prime is 12013041067. The reversal of 12013041040 is 4014031021.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 63 ways as a sum of consecutive naturals, for example, 5364241 + ... + 5366479.

It is an arithmetic number, because the mean of its divisors is an integer number (118992384).

Almost surely, 2^12013041040 is an apocalyptic number.

12013041040 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 12013041040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19038781440).

12013041040 is an abundant number, since it is smaller than the sum of its proper divisors (26064521840).

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

12013041040 is a wasteful number, since it uses less digits than its factorization.

12013041040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2350 (or 2344 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 12013041040 its reverse (4014031021), we get a palindrome (16027072061).

The spelling of 12013041040 in words is "twelve billion, thirteen million, forty-one thousand, forty".