1272314007360 has 672 divisors, whose sum is σ = 5103260547840. Its totient is φ = 287826739200.

The previous prime is 1272314007343. The next prime is 1272314007373. The reversal of 1272314007360 is 637004132721.

1272314007360 is a `hidden beast` number, since 1 + 27 + 231 + 40 + 0 + 7 + 360 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29852946 + ... + 29895534.

It is an arithmetic number, because the mean of its divisors is an integer number (7594137720).

Almost surely, 2^{1272314007360} is an apocalyptic number.

1272314007360 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 1272314007360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2551630273920).

1272314007360 is an abundant number, since it is smaller than the sum of its proper divisors (3830946540480).

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

1272314007360 is a wasteful number, since it uses less digits than its factorization.

1272314007360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42687 (or 42674 counting only the distinct ones).

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

The spelling of 1272314007360 in words is "one trillion, two hundred seventy-two billion, three hundred fourteen million, seven thousand, three hundred sixty".