12772663200 has 756 divisors, whose sum is σ = 51670829574. Its totient is φ = 3079296000.

The previous prime is 12772663187. The next prime is 12772663237. The reversal of 12772663200 is 236627721.

It is a happy number.

12772663200 is a `hidden beast` number, since 1 + 2 + 77 + 266 + 320 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 5251611024 + 7521052176 = 72468^2 + 86724^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 70567110 + ... + 70567290.

Almost surely, 2^12772663200 is an apocalyptic number.

12772663200 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 12772663200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25835414787).

12772663200 is an abundant number, since it is smaller than the sum of its proper divisors (38898166374).

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

12772663200 is a wasteful number, since it uses less digits than its factorization.

12772663200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 12772663200 in words is "twelve billion, seven hundred seventy-two million, six hundred sixty-three thousand, two hundred".