1107360113712 has 320 divisors, whose sum is σ = 3123056302080. Its totient is φ = 336959336448.

The previous prime is 1107360113683. The next prime is 1107360113789. The reversal of 1107360113712 is 2173110637011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1254088023 + ... + 1254088905.

It is an arithmetic number, because the mean of its divisors is an integer number (9759550944).

Almost surely, 2^{1107360113712} is an apocalyptic number.

1107360113712 is a gapful number since it is divisible by the number (12) 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 1107360113712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1561528151040).

1107360113712 is an abundant number, since it is smaller than the sum of its proper divisors (2015696188368).

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

1107360113712 is a wasteful number, since it uses less digits than its factorization.

1107360113712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352 (or 1346 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 33.

The spelling of 1107360113712 in words is "one trillion, one hundred seven billion, three hundred sixty million, one hundred thirteen thousand, seven hundred twelve".