3121023310400 has 42 divisors (see below), whose sum is σ = 7679667987090. Its totient is φ = 1248409323520.

The previous prime is 3121023310399. The next prime is 3121023310403. The reversal of 3121023310400 is 40133201213.

3121023310400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 159980800576 + 2961042509824 = 399976^2 + 1720768^2 .

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

It is not an unprimeable number, because it can be changed into a prime (3121023310403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 975318185 + ... + 975321384.

Almost surely, 2^{3121023310400} is an apocalyptic number.

It is an amenable number.

3121023310400 is an abundant number, since it is smaller than the sum of its proper divisors (4558644676690).

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

3121023310400 is a wasteful number, since it uses less digits than its factorization.

3121023310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1950639591 (or 1950639576 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 3121023310400 its reverse (40133201213), we get a palindrome (3161156511613).

The spelling of 3121023310400 in words is "three trillion, one hundred twenty-one billion, twenty-three million, three hundred ten thousand, four hundred".