120122002111120 has 80 divisors (see below), whose sum is σ = 285278043322368. Its totient is φ = 47017882288640.

The previous prime is 120122002111093. The next prime is 120122002111121. The reversal of 120122002111120 is 21111200221021.

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 (16).

It is a junction number, because it is equal to n+sod(n) for n = 120122002111094 and 120122002111103.

It is not an unprimeable number, because it can be changed into a prime (120122002111121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17651262 + ... + 23490658.

Almost surely, 2^{120122002111120} is an apocalyptic number.

120122002111120 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 120122002111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142639021661184).

120122002111120 is an abundant number, since it is smaller than the sum of its proper divisors (165156041211248).

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

120122002111120 is a wasteful number, since it uses less digits than its factorization.

120122002111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5844928 (or 5844922 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 120122002111120 its reverse (21111200221021), we get a palindrome (141233202332141).

The spelling of 120122002111120 in words is "one hundred twenty trillion, one hundred twenty-two billion, two million, one hundred eleven thousand, one hundred twenty".