12053315040 has 192 divisors, whose sum is σ = 41026632192. Its totient is φ = 2956953600.

The previous prime is 12053315039. The next prime is 12053315041. The reversal of 12053315040 is 4051335021.

It is an interprime number because it is at equal distance from previous prime (12053315039) and next prime (12053315041).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12053315040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12053315041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1937535 + ... + 1943745.

It is an arithmetic number, because the mean of its divisors is an integer number (213680376).

Almost surely, 2^12053315040 is an apocalyptic number.

12053315040 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 12053315040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20513316096).

12053315040 is an abundant number, since it is smaller than the sum of its proper divisors (28973317152).

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

12053315040 is a wasteful number, since it uses less digits than its factorization.

12053315040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6553 (or 6545 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The spelling of 12053315040 in words is "twelve billion, fifty-three million, three hundred fifteen thousand, forty".