3000111313120 has 48 divisors (see below), whose sum is σ = 7087998769488. Its totient is φ = 1200004602880.

The previous prime is 3000111313117. The next prime is 3000111313211. The reversal of 3000111313120 is 213131110003.

It is a super-2 number, since 2×3000111313120² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 3000111313094 and 3000111313103.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 4770660 + ... + 5362780.

It is an arithmetic number, because the mean of its divisors is an integer number (147666641031).

Almost surely, 2^{3000111313120} is an apocalyptic number.

It is an amenable number.

3000111313120 is an abundant number, since it is smaller than the sum of its proper divisors (4087887456368).

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

3000111313120 is a wasteful number, since it uses less digits than its factorization.

3000111313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623803 (or 623795 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 3000111313120 its reverse (213131110003), we get a palindrome (3213242423123).

The spelling of 3000111313120 in words is "three trillion, one hundred eleven million, three hundred thirteen thousand, one hundred twenty".