3123045200 has 120 divisors (see below), whose sum is σ = 8616249120. Its totient is φ = 1075852800.

The previous prime is 3123045173. The next prime is 3123045209. The reversal of 3123045200 is 25403213.

It is a happy number.

It is a super-2 number, since 2×3123045200² = 19506822642486080000, which 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 not an unprimeable number, because it can be changed into a prime (3123045209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64922 + ... + 102278.

It is an arithmetic number, because the mean of its divisors is an integer number (71802076).

Almost surely, 2^3123045200 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 3123045200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4308124560).

3123045200 is an abundant number, since it is smaller than the sum of its proper divisors (5493203920).

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

3123045200 is a wasteful number, since it uses less digits than its factorization.

3123045200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37405 (or 37394 counting only the distinct ones).

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

The square root of 3123045200 is about 55884.2124396506. The cubic root of 3123045200 is about 1461.7039591269.

Adding to 3123045200 its reverse (25403213), we get a palindrome (3148448413).

The spelling of 3123045200 in words is "three billion, one hundred twenty-three million, forty-five thousand, two hundred".