12771283200 has 432 divisors, whose sum is σ = 47796732480. Its totient is φ = 2977136640.

The previous prime is 12771283183. The next prime is 12771283237. The reversal of 12771283200 is 238217721.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4741054 + ... + 4743746.

Almost surely, 2^12771283200 is an apocalyptic number.

12771283200 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 12771283200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23898366240).

12771283200 is an abundant number, since it is smaller than the sum of its proper divisors (35025449280).

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

12771283200 is a wasteful number, since it uses less digits than its factorization.

12771283200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2754 (or 2735 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The spelling of 12771283200 in words is "twelve billion, seven hundred seventy-one million, two hundred eighty-three thousand, two hundred".