212309328000 has 2048 divisors, whose sum is σ = 967856947200. Its totient is φ = 39813120000.

The previous prime is 212309327999. The next prime is 212309328001. The reversal of 212309328000 is 823903212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (212309327999) and next prime (212309328001).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (212309328001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1947791946 + ... + 1947792054.

It is an arithmetic number, because the mean of its divisors is an integer number (472586400).

Almost surely, 2^212309328000 is an apocalyptic number.

212309328000 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 212309328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483928473600).

212309328000 is an abundant number, since it is smaller than the sum of its proper divisors (755547619200).

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

212309328000 is a wasteful number, since it uses less digits than its factorization.

212309328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 212309328000 in words is "two hundred twelve billion, three hundred nine million, three hundred twenty-eight thousand".