111001001000120 has 128 divisors (see below), whose sum is σ = 311533826319360. Its totient is φ = 34580559605760.

The previous prime is 111001001000083. The next prime is 111001001000213. The reversal of 111001001000120 is 21000100100111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 111001001000098 and 111001001000107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2721524 + ... + 15146243.

It is an arithmetic number, because the mean of its divisors is an integer number (2433858018120).

Almost surely, 2^{111001001000120} is an apocalyptic number.

111001001000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111001001000120 is an abundant number, since it is smaller than the sum of its proper divisors (200532825319240).

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

111001001000120 is a wasteful number, since it uses less digits than its factorization.

111001001000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17869813 (or 17869809 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 111001001000120 its reverse (21000100100111), we get a palindrome (132001101100231).

Subtracting from 111001001000120 its reverse (21000100100111), we obtain a palindrome (90000900900009).

The spelling of 111001001000120 in words is "one hundred eleven trillion, one billion, one million, one hundred twenty", and thus it is an aban number.