1077112706112 has 42 divisors (see below), whose sum is σ = 3087349095038. Its totient is φ = 359037568512.

The previous prime is 1077112706107. The next prime is 1077112706141. The reversal of 1077112706112 is 2116072117701.

1077112706112 is a `hidden beast` number, since 1 + 0 + 7 + 7 + 11 + 27 + 0 + 611 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 729220355136 + 347892350976 = 853944^2 + 589824^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 934993093 + ... + 934994244.

Almost surely, 2^{1077112706112} is an apocalyptic number.

1077112706112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1077112706112 is an abundant number, since it is smaller than the sum of its proper divisors (2010236388926).

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

1077112706112 is a wasteful number, since it uses less digits than its factorization.

1077112706112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1869987355 (or 1869987342 counting only the distinct ones).

The product of its (nonzero) digits is 8232, while the sum is 36.

The spelling of 1077112706112 in words is "one trillion, seventy-seven billion, one hundred twelve million, seven hundred six thousand, one hundred twelve".