3110121000400 has 60 divisors (see below), whose sum is σ = 7504134879852. Its totient is φ = 1238709099520.

The previous prime is 3110121000353. The next prime is 3110121000407. The reversal of 3110121000400 is 40001210113.

It can be written as a sum of positive squares in 6 ways, for example, as 783812750224 + 2326308250176 = 885332^2 + 1525224^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3110121000407) by changing a digit.

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, 16591999 + ... + 16778398.

Almost surely, 2^{3110121000400} is an apocalyptic number.

It is an amenable number.

3110121000400 is an abundant number, since it is smaller than the sum of its proper divisors (4394013879452).

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

3110121000400 is a wasteful number, since it uses less digits than its factorization.

3110121000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33370648 (or 33370637 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 3110121000400 its reverse (40001210113), we get a palindrome (3150122210513).

The spelling of 3110121000400 in words is "three trillion, one hundred ten billion, one hundred twenty-one million, four hundred", and thus it is an aban number.