212328345600 has 1872 divisors, whose sum is σ = 958285665792. Its totient is φ = 45546209280.

The previous prime is 212328345569. The next prime is 212328345659. The reversal of 212328345600 is 6543823212.

212328345600 is a `hidden beast` number, since 2 + 1 + 2 + 3 + 2 + 8 + 3 + 45 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4006195174 + ... + 4006195226.

It is an arithmetic number, because the mean of its divisors is an integer number (511904736).

Almost surely, 2^212328345600 is an apocalyptic number.

212328345600 is a gapful number since it is divisible by the number (20) 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 212328345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479142832896).

212328345600 is an abundant number, since it is smaller than the sum of its proper divisors (745957320192).

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

212328345600 is an equidigital number, since it uses as much as digits as its factorization.

212328345600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 212328345600 in words is "two hundred twelve billion, three hundred twenty-eight million, three hundred forty-five thousand, six hundred".