212213311213200 has 960 divisors, whose sum is σ = 801278564889600. Its totient is φ = 47464012800000.

The previous prime is 212213311213177. The next prime is 212213311213231. The reversal of 212213311213200 is 2312113312212.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1545110131 + ... + 1545247469.

It is an arithmetic number, because the mean of its divisors is an integer number (834665171760).

Almost surely, 2^{212213311213200} is an apocalyptic number.

212213311213200 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 212213311213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400639282444800).

212213311213200 is an abundant number, since it is smaller than the sum of its proper divisors (589065253676400).

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

212213311213200 is a wasteful number, since it uses less digits than its factorization.

212213311213200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137552 (or 137541 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 212213311213200 its reverse (2312113312212), we get a palindrome (214525424525412).

The spelling of 212213311213200 in words is "two hundred twelve trillion, two hundred thirteen billion, three hundred eleven million, two hundred thirteen thousand, two hundred".