12770456371200 has 1368 divisors, whose sum is σ = 51824637490080. Its totient is φ = 3095868211200.

The previous prime is 12770456371187. The next prime is 12770456371217. The reversal of 12770456371200 is 217365407721.

12770456371200 is a `hidden beast` number, since 1 + 2 + 7 + 7 + 0 + 4 + 5 + 637 + 1 + 2 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1160950579195 + ... + 1160950579205.

Almost surely, 2^{12770456371200} is an apocalyptic number.

12770456371200 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 12770456371200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25912318745040).

12770456371200 is an abundant number, since it is smaller than the sum of its proper divisors (39054181118880).

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

12770456371200 is an frugal number, since it uses more digits than its factorization.

12770456371200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 12770456371200 in words is "twelve trillion, seven hundred seventy billion, four hundred fifty-six million, three hundred seventy-one thousand, two hundred".