120102012120 has 128 divisors (see below), whose sum is σ = 368905881600. Its totient is φ = 31266233856.

The previous prime is 120102012083. The next prime is 120102012157. The reversal of 120102012120 is 21210201021.

It is an interprime number because it is at equal distance from previous prime (120102012083) and next prime (120102012157).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 120102012096 and 120102012105.

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, 2212261 + ... + 2265899.

It is an arithmetic number, because the mean of its divisors is an integer number (2882077200).

Almost surely, 2^120102012120 is an apocalyptic number.

120102012120 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 120102012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184452940800).

120102012120 is an abundant number, since it is smaller than the sum of its proper divisors (248803869480).

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

120102012120 is a wasteful number, since it uses less digits than its factorization.

120102012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54097 (or 54093 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 120102012120 its reverse (21210201021), we get a palindrome (141312213141).

The spelling of 120102012120 in words is "one hundred twenty billion, one hundred two million, twelve thousand, one hundred twenty".