6000315120 has 120 divisors (see below), whose sum is σ = 20209644000. Its totient is φ = 1595432448.

The previous prime is 6000315107. The next prime is 6000315131. The reversal of 6000315120 is 215130006.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×6000315120² = 72007563078601228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 6000315093 and 6000315102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 239341 + ... + 263219.

It is an arithmetic number, because the mean of its divisors is an integer number (168413700).

Almost surely, 2^6000315120 is an apocalyptic number.

6000315120 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 6000315120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10104822000).

6000315120 is an abundant number, since it is smaller than the sum of its proper divisors (14209328880).

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

6000315120 is a wasteful number, since it uses less digits than its factorization.

6000315120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24247 (or 24238 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 6000315120 is about 77461.7009882949. The cubic root of 6000315120 is about 1817.1524039998.

Adding to 6000315120 its reverse (215130006), we get a palindrome (6215445126).

The spelling of 6000315120 in words is "six billion, three hundred fifteen thousand, one hundred twenty".