12035764992 has 144 divisors (see below), whose sum is σ = 34011260640. Its totient is φ = 3765436416.

The previous prime is 12035764931. The next prime is 12035764997. The reversal of 12035764992 is 29946753021.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (12035764997) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5652184 + ... + 5654312.

It is an arithmetic number, because the mean of its divisors is an integer number (236189310).

Almost surely, 2^12035764992 is an apocalyptic number.

12035764992 is a gapful number since it is divisible by the number (12) 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 12035764992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17005630320).

12035764992 is an abundant number, since it is smaller than the sum of its proper divisors (21975495648).

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

12035764992 is a wasteful number, since it uses less digits than its factorization.

12035764992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2598 (or 2584 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The spelling of 12035764992 in words is "twelve billion, thirty-five million, seven hundred sixty-four thousand, nine hundred ninety-two".