3212300023200 has 648 divisors, whose sum is σ = 12065458784652. Its totient is φ = 803858964480.

The previous prime is 3212300023189. The next prime is 3212300023267. The reversal of 3212300023200 is 23200032123.

It is a happy number.

3212300023200 is a `hidden beast` number, since 32 + 12 + 300 + 0 + 2 + 320 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2054257159824 + 1158042863376 = 1433268^2 + 1076124^2 .

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

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 107 ways as a sum of consecutive naturals, for example, 201858444 + ... + 201874356.

Almost surely, 2^{3212300023200} is an apocalyptic number.

3212300023200 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 3212300023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6032729392326).

3212300023200 is an abundant number, since it is smaller than the sum of its proper divisors (8853158761452).

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

3212300023200 is a wasteful number, since it uses less digits than its factorization.

3212300023200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16038 (or 15999 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 3212300023200 its reverse (23200032123), we get a palindrome (3235500055323).

The spelling of 3212300023200 in words is "three trillion, two hundred twelve billion, three hundred million, twenty-three thousand, two hundred".