120111200012120 has 128 divisors (see below), whose sum is σ = 273567951720000. Its totient is φ = 47455798444032.

The previous prime is 120111200012101. The next prime is 120111200012147. The reversal of 120111200012120 is 21210002111021.

120111200012120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 120111200012095 and 120111200012104.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 23147270486 + ... + 23147275674.

Almost surely, 2^{120111200012120} is an apocalyptic number.

120111200012120 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 120111200012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136783975860000).

120111200012120 is an abundant number, since it is smaller than the sum of its proper divisors (153456751707880).

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

120111200012120 is a wasteful number, since it uses less digits than its factorization.

120111200012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10725 (or 10721 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 120111200012120 its reverse (21210002111021), we get a palindrome (141321202123141).

The spelling of 120111200012120 in words is "one hundred twenty trillion, one hundred eleven billion, two hundred million, twelve thousand, one hundred twenty".