212588328000 has 896 divisors, whose sum is σ = 766867046400. Its totient is φ = 51760128000.

The previous prime is 212588327951. The next prime is 212588328023. The reversal of 212588328000 is 823885212.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 212588328000.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1272983917 + ... + 1272984083.

It is an arithmetic number, because the mean of its divisors is an integer number (855878400).

Almost surely, 2^212588328000 is an apocalyptic number.

212588328000 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 212588328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383433523200).

212588328000 is an abundant number, since it is smaller than the sum of its proper divisors (554278718400).

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

212588328000 is a wasteful number, since it uses less digits than its factorization.

212588328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The spelling of 212588328000 in words is "two hundred twelve billion, five hundred eighty-eight million, three hundred twenty-eight thousand".