6125343120 has 800 divisors, whose sum is σ = 24954652800. Its totient is φ = 1379524608.

The previous prime is 6125343113. The next prime is 6125343127. The reversal of 6125343120 is 213435216.

6125343120 is a `hidden beast` number, since 6 + 1 + 2 + 534 + 3 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (6125343113) and next prime (6125343127).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (6125343127) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 68824036 + ... + 68824124.

It is an arithmetic number, because the mean of its divisors is an integer number (31193316).

Almost surely, 2^6125343120 is an apocalyptic number.

6125343120 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 6125343120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12477326400).

6125343120 is an abundant number, since it is smaller than the sum of its proper divisors (18829309680).

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

6125343120 is a wasteful number, since it uses less digits than its factorization.

6125343120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 6125343120 is about 78264.5712950630. The cubic root of 6125343120 is about 1829.6870198422.

Adding to 6125343120 its reverse (213435216), we get a palindrome (6338778336).

The spelling of 6125343120 in words is "six billion, one hundred twenty-five million, three hundred forty-three thousand, one hundred twenty".