120111003120 has 80 divisors (see below), whose sum is σ = 374215334400. Its totient is φ = 31868635392.

The previous prime is 120111003109. The next prime is 120111003127. The reversal of 120111003120 is 21300111021.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 120111003096 and 120111003105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120111003127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1209684 + ... + 1305203.

It is an arithmetic number, because the mean of its divisors is an integer number (4677691680).

Almost surely, 2^120111003120 is an apocalyptic number.

120111003120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120111003120 is an abundant number, since it is smaller than the sum of its proper divisors (254104331280).

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

120111003120 is a wasteful number, since it uses less digits than its factorization.

120111003120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2515102 (or 2515096 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 120111003120 its reverse (21300111021), we get a palindrome (141411114141).

The spelling of 120111003120 in words is "one hundred twenty billion, one hundred eleven million, three thousand, one hundred twenty".