3212023223200 has 144 divisors (see below), whose sum is σ = 8559282420864. Its totient is φ = 1167314739200.

The previous prime is 3212023223159. The next prime is 3212023223203. The reversal of 3212023223200 is 23223202123.

3212023223200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3212023223200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (3212023223203) 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, 14826057 + ... + 15041143.

It is an arithmetic number, because the mean of its divisors is an integer number (59439461256).

Almost surely, 2^{3212023223200} 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 3212023223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4279641210432).

3212023223200 is an abundant number, since it is smaller than the sum of its proper divisors (5347259197664).

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

3212023223200 is a wasteful number, since it uses less digits than its factorization.

3212023223200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216815 (or 216802 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 3212023223200 its reverse (23223202123), we get a palindrome (3235246425323).

The spelling of 3212023223200 in words is "three trillion, two hundred twelve billion, twenty-three million, two hundred twenty-three thousand, two hundred".