1000115112120 has 128 divisors (see below), whose sum is σ = 3159112320000. Its totient is φ = 252592335360.

The previous prime is 1000115112067. The next prime is 1000115112131. The reversal of 1000115112120 is 212115110001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1000115112120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8654481 + ... + 8769279.

It is an arithmetic number, because the mean of its divisors is an integer number (24680565000).

Almost surely, 2^{1000115112120} is an apocalyptic number.

1000115112120 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 1000115112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1579556160000).

1000115112120 is an abundant number, since it is smaller than the sum of its proper divisors (2158997207880).

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

1000115112120 is a wasteful number, since it uses less digits than its factorization.

1000115112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118653 (or 118649 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 15.

The spelling of 1000115112120 in words is "one trillion, one hundred fifteen million, one hundred twelve thousand, one hundred twenty".