120111201121120 has 144 divisors (see below), whose sum is σ = 311916714462864. Its totient is φ = 43675085696000.

The previous prime is 120111201121049. The next prime is 120111201121157. The reversal of 120111201121120 is 21121102111021.

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 = 120111201121094 and 120111201121103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 559416027 + ... + 559630693.

It is an arithmetic number, because the mean of its divisors is an integer number (2166088294881).

Almost surely, 2^{120111201121120} is an apocalyptic number.

120111201121120 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 120111201121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155958357231432).

120111201121120 is an abundant number, since it is smaller than the sum of its proper divisors (191805513341744).

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

120111201121120 is a wasteful number, since it uses less digits than its factorization.

120111201121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243605 (or 243586 counting only the distinct ones).

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

Adding to 120111201121120 its reverse (21121102111021), we get a palindrome (141232303232141).

The spelling of 120111201121120 in words is "one hundred twenty trillion, one hundred eleven billion, two hundred one million, one hundred twenty-one thousand, one hundred twenty".