1272934776960 has 2304 divisors, whose sum is σ = 5920547143680. Its totient is φ = 253957939200.

The previous prime is 1272934776931. The next prime is 1272934776983. The reversal of 1272934776960 is 696774392721.

1272934776960 is a `hidden beast` number, since 1 + 2 + 72 + 9 + 3 + 477 + 6 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 10023108417 + ... + 10023108543.

It is an arithmetic number, because the mean of its divisors is an integer number (2569681920).

Almost surely, 2^{1272934776960} is an apocalyptic number.

1272934776960 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 1272934776960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2960273571840).

1272934776960 is an abundant number, since it is smaller than the sum of its proper divisors (4647612366720).

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

1272934776960 is an equidigital number, since it uses as much as digits as its factorization.

1272934776960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 48009024, while the sum is 63.

The spelling of 1272934776960 in words is "one trillion, two hundred seventy-two billion, nine hundred thirty-four million, seven hundred seventy-six thousand, nine hundred sixty".