120120125118 has 64 divisors (see below), whose sum is σ = 280324692480. Its totient is φ = 33606254592.

The previous prime is 120120125117. The next prime is 120120125159. The reversal of 120120125118 is 811521021021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120120125117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 285246 + ... + 567102.

It is an arithmetic number, because the mean of its divisors is an integer number (4380073320).

Almost surely, 2^120120125118 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120120125118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140162346240).

120120125118 is an abundant number, since it is smaller than the sum of its proper divisors (160204567362).

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

120120125118 is a wasteful number, since it uses less digits than its factorization.

120120125118 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282081.

The product of its (nonzero) digits is 320, while the sum is 24.

Adding to 120120125118 its reverse (811521021021), we get a palindrome (931641146139).

It can be divided in two parts, 12012012 and 5118, that multiplied together give a palindrome (61477477416).

The spelling of 120120125118 in words is "one hundred twenty billion, one hundred twenty million, one hundred twenty-five thousand, one hundred eighteen".