6120330216 has 256 divisors, whose sum is σ = 20629002240. Its totient is φ = 1461335040.

The previous prime is 6120330211. The next prime is 6120330239.

It is a happy number.

6120330216 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (6120330211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8960611 + ... + 8961293.

It is an arithmetic number, because the mean of its divisors is an integer number (80582040).

Almost surely, 2^6120330216 is an apocalyptic number.

6120330216 is a gapful number since it is divisible by the number (66) 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 6120330216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10314501120).

6120330216 is an abundant number, since it is smaller than the sum of its proper divisors (14508672024).

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

6120330216 is a wasteful number, since it uses less digits than its factorization.

6120330216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 6120330216 is about 78232.5393682194. The cubic root of 6120330216 is about 1829.1877526483.

It can be divided in two parts, 61203 and 30216, that added together give a palindrome (91419).

The spelling of 6120330216 in words is "six billion, one hundred twenty million, three hundred thirty thousand, two hundred sixteen".