3122325200 has 60 divisors (see below), whose sum is σ = 7527270828. Its totient is φ = 1244620800.

The previous prime is 3122325191. The next prime is 3122325251. The reversal of 3122325200 is 25232213.

3122325200 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 6 ways, for example, as 54937744 + 3067387456 = 7412^2 + 55384^2 .

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 103880 + ... + 130520.

Almost surely, 2^3122325200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3122325200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3763635414).

3122325200 is an abundant number, since it is smaller than the sum of its proper divisors (4404945628).

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

3122325200 is a wasteful number, since it uses less digits than its factorization.

3122325200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26952 (or 26941 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 3122325200 is about 55877.7701774149. The cubic root of 3122325200 is about 1461.5916213635.

Adding to 3122325200 its reverse (25232213), we get a palindrome (3147557413).

The spelling of 3122325200 in words is "three billion, one hundred twenty-two million, three hundred twenty-five thousand, two hundred".