120211123100120 has 128 divisors (see below), whose sum is σ = 301162724352000. Its totient is φ = 42884454551040.

The previous prime is 120211123100063. The next prime is 120211123100161. The reversal of 120211123100120 is 21001321112021.

It is a happy number.

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, 3954641 + ... + 16001919.

It is an arithmetic number, because the mean of its divisors is an integer number (2352833784000).

Almost surely, 2^{120211123100120} is an apocalyptic number.

120211123100120 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 120211123100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150581362176000).

120211123100120 is an abundant number, since it is smaller than the sum of its proper divisors (180951601251880).

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

120211123100120 is a wasteful number, since it uses less digits than its factorization.

120211123100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12047953 (or 12047949 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 120211123100120 its reverse (21001321112021), we get a palindrome (141212444212141).

The spelling of 120211123100120 in words is "one hundred twenty trillion, two hundred eleven billion, one hundred twenty-three million, one hundred thousand, one hundred twenty".