6006141200 has 60 divisors (see below), whose sum is σ = 14454658548. Its totient is φ = 2398310400.

The previous prime is 6006141187. The next prime is 6006141241. The reversal of 6006141200 is 21416006.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 38887696 + 5967253504 = 6236^2 + 77248^2 .

It is a super-2 number, since 2×6006141200² = 72147464228674880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 224540 + ... + 249860.

Almost surely, 2^6006141200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6006141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7227329274).

6006141200 is an abundant number, since it is smaller than the sum of its proper divisors (8448517348).

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

6006141200 is a wasteful number, since it uses less digits than its factorization.

6006141200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25932 (or 25921 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 6006141200 is about 77499.2980613373. The cubic root of 6006141200 is about 1817.7403426012.

Adding to 6006141200 its reverse (21416006), we get a palindrome (6027557206).

The spelling of 6006141200 in words is "six billion, six million, one hundred forty-one thousand, two hundred".