3213111200 has 144 divisors (see below), whose sum is σ = 8477879256. Its totient is φ = 1182105600.

The previous prime is 3213111193. The next prime is 3213111217. The reversal of 3213111200 is 21113123.

3213111200 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 12 ways, for example, as 35344 + 3213075856 = 188^2 + 56684^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5418104 + ... + 5418696.

Almost surely, 2^3213111200 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 3213111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4238939628).

3213111200 is an abundant number, since it is smaller than the sum of its proper divisors (5264768056).

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

3213111200 is a wasteful number, since it uses less digits than its factorization.

3213111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 3213111200 is about 56684.3117626032. The cubic root of 3213111200 is about 1475.6224434136.

Adding to 3213111200 its reverse (21113123), we get a palindrome (3234224323).

The spelling of 3213111200 in words is "three billion, two hundred thirteen million, one hundred eleven thousand, two hundred".