12883590720 has 1344 divisors, whose sum is σ = 61509127680. Its totient is φ = 2388787200.

The previous prime is 12883590703. The next prime is 12883590821. The reversal of 12883590720 is 2709538821.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 118198026 + ... + 118198134.

It is an arithmetic number, because the mean of its divisors is an integer number (45765720).

Almost surely, 2^12883590720 is an apocalyptic number.

12883590720 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 12883590720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30754563840).

12883590720 is an abundant number, since it is smaller than the sum of its proper divisors (48625536960).

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

12883590720 is a wasteful number, since it uses less digits than its factorization.

12883590720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 12883590720 in words is "twelve billion, eight hundred eighty-three million, five hundred ninety thousand, seven hundred twenty".