120120120120 has 512 divisors, whose sum is σ = 488680335360. Its totient is φ = 22809600000.

The previous prime is 120120120079. The next prime is 120120120143. The reversal of 120120120120 is 21021021021.

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

120120120120 is a modest number, since divided by 120120120 gives 120 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 120120120096 and 120120120105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12127170 + ... + 12137070.

It is an arithmetic number, because the mean of its divisors is an integer number (954453780).

Almost surely, 2^120120120120 is an apocalyptic number.

120120120120 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 120120120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244340167680).

120120120120 is an abundant number, since it is smaller than the sum of its proper divisors (368560215240).

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

120120120120 is a wasteful number, since it uses less digits than its factorization.

120120120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10047 (or 10043 counting only the distinct ones).

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

Adding to 120120120120 its reverse (21021021021), we get a palindrome (141141141141).

Subtracting from 120120120120 its reverse (21021021021), we obtain a palindrome (99099099099).

The spelling of 120120120120 in words is "one hundred twenty billion, one hundred twenty million, one hundred twenty thousand, one hundred twenty".