12983202288 has 360 divisors, whose sum is σ = 45753821568. Its totient is φ = 3547006848.

The previous prime is 12983202269. The next prime is 12983202289. The reversal of 12983202288 is 88220238921.

12983202288 is a `hidden beast` number, since 12 + 98 + 320 + 228 + 8 = 666.

It is a super-2 number, since 2×12983202288² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12983202289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4380295 + ... + 4383257.

Almost surely, 2^12983202288 is an apocalyptic number.

12983202288 is a gapful number since it is divisible by the number (18) 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 12983202288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22876910784).

12983202288 is an abundant number, since it is smaller than the sum of its proper divisors (32770619280).

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

12983202288 is a wasteful number, since it uses less digits than its factorization.

12983202288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3023 (or 2998 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 12983202288 in words is "twelve billion, nine hundred eighty-three million, two hundred two thousand, two hundred eighty-eight".