3120442200 has 288 divisors, whose sum is σ = 11513548800. Its totient is φ = 753857280.

The previous prime is 3120442153. The next prime is 3120442243. The reversal of 3120442200 is 22440213.

3120442200 is a `hidden beast` number, since 3 + 1 + 20 + 442 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 784617 + ... + 788583.

It is an arithmetic number, because the mean of its divisors is an integer number (39977600).

Almost surely, 2^3120442200 is an apocalyptic number.

3120442200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3120442200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5756774400).

3120442200 is an abundant number, since it is smaller than the sum of its proper divisors (8393106600).

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

3120442200 is a wasteful number, since it uses less digits than its factorization.

3120442200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4031 (or 4019 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 3120442200 is about 55860.9183597978. The cubic root of 3120442200 is about 1461.2977452413.

Adding to 3120442200 its reverse (22440213), we get a palindrome (3142882413).

The spelling of 3120442200 in words is "three billion, one hundred twenty million, four hundred forty-two thousand, two hundred".