12792278200 has 192 divisors, whose sum is σ = 33997824000. Its totient is φ = 4437296640.

The previous prime is 12792278197. The next prime is 12792278237. The reversal of 12792278200 is 287229721.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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, 6272781 + ... + 6274819.

It is an arithmetic number, because the mean of its divisors is an integer number (177072000).

Almost surely, 2^12792278200 is an apocalyptic number.

12792278200 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 12792278200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16998912000).

12792278200 is an abundant number, since it is smaller than the sum of its proper divisors (21205545800).

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

12792278200 is a wasteful number, since it uses less digits than its factorization.

12792278200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2214 (or 2205 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 40.

The spelling of 12792278200 in words is "twelve billion, seven hundred ninety-two million, two hundred seventy-eight thousand, two hundred".