3000312012240 has 100 divisors (see below), whose sum is σ = 10420528131684. Its totient is φ = 800083201536.

The previous prime is 3000312012239. The next prime is 3000312012259. The reversal of 3000312012240 is 422102130003.

3000312012240 is a `hidden beast` number, since 300 + 0 + 3 + 120 + 1 + 2 + 240 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2042818449984 + 957493562256 = 1429272^2 + 978516^2 .

It is a super-3 number, since 3×3000312012240³ (a number of 38 digits) contains 333 as substring.

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

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 231499077 + ... + 231512036.

Almost surely, 2^{3000312012240} is an apocalyptic number.

3000312012240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3000312012240 is an abundant number, since it is smaller than the sum of its proper divisors (7420216119444).

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

3000312012240 is a wasteful number, since it uses less digits than its factorization.

3000312012240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463011138 (or 463011123 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 3000312012240 its reverse (422102130003), we get a palindrome (3422414142243).

The spelling of 3000312012240 in words is "three trillion, three hundred twelve million, twelve thousand, two hundred forty".