1270387599712 has 864 divisors, whose sum is σ = 3642315102720. Its totient is φ = 424258560000.

The previous prime is 1270387599703. The next prime is 1270387599751. The reversal of 1270387599712 is 2179957830721.

It is a super-3 number, since 3×1270387599712³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8413162837 + ... + 8413162987.

It is an arithmetic number, because the mean of its divisors is an integer number (4215642480).

Almost surely, 2^{1270387599712} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1270387599712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1821157551360).

1270387599712 is an abundant number, since it is smaller than the sum of its proper divisors (2371927503008).

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

1270387599712 is a wasteful number, since it uses less digits than its factorization.

1270387599712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 13335840, while the sum is 61.

The spelling of 1270387599712 in words is "one trillion, two hundred seventy billion, three hundred eighty-seven million, five hundred ninety-nine thousand, seven hundred twelve".