3001231131200 has 84 divisors (see below), whose sum is σ = 7417153748340. Its totient is φ = 1195249981440.

The previous prime is 3001231131187. The next prime is 3001231131251. The reversal of 3001231131200 is 21311321003.

It can be written as a sum of positive squares in 6 ways, for example, as 11402822656 + 2989828308544 = 106784^2 + 1729112^2 .

It is a super-2 number, since 2×3001231131200² (a number of 26 digits) contains 22 as substring.

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, 3729167 + ... + 4461966.

It is an arithmetic number, because the mean of its divisors is an integer number (88299449385).

Almost surely, 2^{3001231131200} is an apocalyptic number.

It is an amenable number.

3001231131200 is an abundant number, since it is smaller than the sum of its proper divisors (4415922617140).

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

3001231131200 is a wasteful number, since it uses less digits than its factorization.

3001231131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8191384 (or 8191369 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 3001231131200 its reverse (21311321003), we get a palindrome (3022542452203).

The spelling of 3001231131200 in words is "three trillion, one billion, two hundred thirty-one million, one hundred thirty-one thousand, two hundred".