3212123200 has 336 divisors, whose sum is σ = 9445020480. Its totient is φ = 1059840000.

The previous prime is 3212123183. The next prime is 3212123203. The reversal of 3212123200 is 23212123.

3212123200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (3212123203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23108731 + ... + 23108869.

It is an arithmetic number, because the mean of its divisors is an integer number (28110180).

Almost surely, 2^3212123200 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 3212123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4722510240).

3212123200 is an abundant number, since it is smaller than the sum of its proper divisors (6232897280).

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

3212123200 is a wasteful number, since it uses less digits than its factorization.

3212123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 3212123200 is about 56675.5961591936. The cubic root of 3212123200 is about 1475.4711814601.

Adding to 3212123200 its reverse (23212123), we get a palindrome (3235335323).

The spelling of 3212123200 in words is "three billion, two hundred twelve million, one hundred twenty-three thousand, two hundred".