6012115200 has 1296 divisors, whose sum is σ = 28046427136. Its totient is φ = 1194393600.

The previous prime is 6012115181. The next prime is 6012115243. The reversal of 6012115200 is 25112106.

6012115200 is a `hidden beast` number, since 601 + 2 + 11 + 52 + 0 + 0 = 666.

It is a super-2 number, since 2×6012115200² = 72291058356142080000, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 162489582 + ... + 162489618.

Almost surely, 2^6012115200 is an apocalyptic number.

6012115200 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 6012115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14023213568).

6012115200 is an abundant number, since it is smaller than the sum of its proper divisors (22034311936).

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

6012115200 is a wasteful number, since it uses less digits than its factorization.

6012115200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 6012115200 is about 77537.8307666651. The cubic root of 6012115200 is about 1818.3428138650.

Adding to 6012115200 its reverse (25112106), we get a palindrome (6037227306).

The spelling of 6012115200 in words is "six billion, twelve million, one hundred fifteen thousand, two hundred".