3200123200 has 84 divisors (see below), whose sum is σ = 7890992092. Its totient is φ = 1277337600.

The previous prime is 3200123189. The next prime is 3200123293. The reversal of 3200123200 is 23210023.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 567201856 + 2632921344 = 23816^2 + 51312^2 .

3200123200 is a modest number, since divided by 123200 gives 3200 as remainder.

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, 863752 + ... + 867448.

Almost surely, 2^3200123200 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 3200123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3945496046).

3200123200 is an abundant number, since it is smaller than the sum of its proper divisors (4690868892).

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

3200123200 is a wasteful number, since it uses less digits than its factorization.

3200123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4260 (or 4245 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 3200123200 is about 56569.6314288859. The cubic root of 3200123200 is about 1473.6315105752.

Adding to 3200123200 its reverse (23210023), we get a palindrome (3223333223).

The spelling of 3200123200 in words is "three billion, two hundred million, one hundred twenty-three thousand, two hundred".