212220201212000 has 192 divisors, whose sum is σ = 537232934766528. Its totient is φ = 82352678400000.

The previous prime is 212220201211943. The next prime is 212220201212003. The reversal of 212220201212000 is 212102022212.

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 212220201212000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212220201212003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11854775 + ... + 23769225.

It is an arithmetic number, because the mean of its divisors is an integer number (2798088201909).

Almost surely, 2^{212220201212000} is an apocalyptic number.

212220201212000 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 212220201212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268616467383264).

212220201212000 is an abundant number, since it is smaller than the sum of its proper divisors (325012733554528).

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

212220201212000 is a wasteful number, since it uses less digits than its factorization.

212220201212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11914610 (or 11914592 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 212220201212000 its reverse (212102022212), we get a palindrome (212432303234212).

The spelling of 212220201212000 in words is "two hundred twelve trillion, two hundred twenty billion, two hundred one million, two hundred twelve thousand".