212320212000 has 384 divisors, whose sum is σ = 788501226240. Its totient is φ = 49512038400.

The previous prime is 212320211963. The next prime is 212320212031. The reversal of 212320212000 is 212023212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2928184 + ... + 2999816.

It is an arithmetic number, because the mean of its divisors is an integer number (2053388610).

Almost surely, 2^212320212000 is an apocalyptic number.

212320212000 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 212320212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394250613120).

212320212000 is an abundant number, since it is smaller than the sum of its proper divisors (576181014240).

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

212320212000 is a wasteful number, since it uses less digits than its factorization.

212320212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71693 (or 71675 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 212320212000 its reverse (212023212), we get a palindrome (212532235212).

The spelling of 212320212000 in words is "two hundred twelve billion, three hundred twenty million, two hundred twelve thousand".