120110111022120 has 256 divisors, whose sum is σ = 394876275264000. Its totient is φ = 29091486498816.

The previous prime is 120110111022107. The next prime is 120110111022163. The reversal of 120110111022120 is 21220111011021.

It is a happy number.

It is a super-2 number, since 2×120110111022120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 120110111022120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 120129384 + ... + 121125096.

It is an arithmetic number, because the mean of its divisors is an integer number (1542485450250).

Almost surely, 2^{120110111022120} is an apocalyptic number.

120110111022120 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 120110111022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197438137632000).

120110111022120 is an abundant number, since it is smaller than the sum of its proper divisors (274766164241880).

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

120110111022120 is a wasteful number, since it uses less digits than its factorization.

120110111022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997812 (or 997808 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 120110111022120 its reverse (21220111011021), we get a palindrome (141330222033141).

The spelling of 120110111022120 in words is "one hundred twenty trillion, one hundred ten billion, one hundred eleven million, twenty-two thousand, one hundred twenty".