3114304101200 has 30 divisors (see below), whose sum is σ = 7482115604094. Its totient is φ = 1245721640320.

The previous prime is 3114304101191. The next prime is 3114304101217. The reversal of 3114304101200 is 21014034113.

It can be written as a sum of positive squares in 3 ways, for example, as 947414115904 + 2166889985296 = 973352^2 + 1472036^2 .

It is a super-2 number, since 2×3114304101200² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3892879727 + ... + 3892880526.

Almost surely, 2^{3114304101200} is an apocalyptic number.

It is an amenable number.

3114304101200 is an abundant number, since it is smaller than the sum of its proper divisors (4367811502894).

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

3114304101200 is a wasteful number, since it uses less digits than its factorization.

3114304101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7785760271 (or 7785760260 counting only the distinct ones).

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

Adding to 3114304101200 its reverse (21014034113), we get a palindrome (3135318135313).

The spelling of 3114304101200 in words is "three trillion, one hundred fourteen billion, three hundred four million, one hundred one thousand, two hundred".