127782560325312 has 140 divisors (see below), whose sum is σ = 378806622761160. Its totient is φ = 42592040884224.

The previous prime is 127782560325281. The next prime is 127782560325337. The reversal of 127782560325312 is 213523065287721.

127782560325312 is a `hidden beast` number, since 1 + 2 + 7 + 7 + 8 + 2 + 5 + 603 + 25 + 3 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 103986739 + ... + 105208397.

Almost surely, 2^{127782560325312} is an apocalyptic number.

127782560325312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

127782560325312 is an abundant number, since it is smaller than the sum of its proper divisors (251024062435848).

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

127782560325312 is a wasteful number, since it uses less digits than its factorization.

127782560325312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1241860 (or 1241841 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 127782560325312 in words is "one hundred twenty-seven trillion, seven hundred eighty-two billion, five hundred sixty million, three hundred twenty-five thousand, three hundred twelve".