1107312714120 has 96 divisors (see below), whose sum is σ = 3369386828160. Its totient is φ = 291124310400.

The previous prime is 1107312714103. The next prime is 1107312714133. The reversal of 1107312714120 is 214172137011.

It is a super-2 number, since 2×1107312714120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 310336 + ... + 1520175.

It is an arithmetic number, because the mean of its divisors is an integer number (35097779460).

Almost surely, 2^{1107312714120} is an apocalyptic number.

1107312714120 is a gapful number since it is divisible by the number (10) 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 1107312714120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1684693414080).

1107312714120 is an abundant number, since it is smaller than the sum of its proper divisors (2262074114040).

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

1107312714120 is a wasteful number, since it uses less digits than its factorization.

1107312714120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1830667 (or 1830592 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 30.

The spelling of 1107312714120 in words is "one trillion, one hundred seven billion, three hundred twelve million, seven hundred fourteen thousand, one hundred twenty".