1120314013312 has 64 divisors (see below), whose sum is σ = 2462181833160. Its totient is φ = 504456560640.

The previous prime is 1120314013297. The next prime is 1120314013327. The reversal of 1120314013312 is 2133104130211.

It is an interprime number because it is at equal distance from previous prime (1120314013297) and next prime (1120314013327).

It can be written as a sum of positive squares in 4 ways, for example, as 381360591936 + 738953421376 = 617544^2 + 859624^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1120314013312² (a number of 25 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 8142333 + ... + 8278780.

Almost surely, 2^{1120314013312} is an apocalyptic number.

It is an amenable number.

1120314013312 is an abundant number, since it is smaller than the sum of its proper divisors (1341867819848).

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

1120314013312 is a wasteful number, since it uses less digits than its factorization.

1120314013312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16421181 (or 16421169 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 1120314013312 its reverse (2133104130211), we get a palindrome (3253418143523).

The spelling of 1120314013312 in words is "one trillion, one hundred twenty billion, three hundred fourteen million, thirteen thousand, three hundred twelve".