6120117120 has 256 divisors, whose sum is σ = 21097843200. Its totient is φ = 1500094464.

The previous prime is 6120117103. The next prime is 6120117137. The reversal of 6120117120 is 217110216.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6120117103) and next prime (6120117137).

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, 8960299 + ... + 8960981.

It is an arithmetic number, because the mean of its divisors is an integer number (82413450).

Almost surely, 2^6120117120 is an apocalyptic number.

6120117120 is a gapful number since it is divisible by the number (60) 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 6120117120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10548921600).

6120117120 is an abundant number, since it is smaller than the sum of its proper divisors (14977726080).

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

6120117120 is a wasteful number, since it uses less digits than its factorization.

6120117120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 21.

The square root of 6120117120 is about 78231.1774166796. The cubic root of 6120117120 is about 1829.1665230140.

Adding to 6120117120 its reverse (217110216), we get a palindrome (6337227336).

The spelling of 6120117120 in words is "six billion, one hundred twenty million, one hundred seventeen thousand, one hundred twenty".