212221001120000 has 180 divisors, whose sum is σ = 529376172586800. Its totient is φ = 84883693824000.

The previous prime is 212221001119997. The next prime is 212221001120033. The reversal of 212221001120000 is 21100122212.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5071819079 + ... + 5071860921.

Almost surely, 2^{212221001120000} is an apocalyptic number.

212221001120000 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 212221001120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264688086293400).

212221001120000 is an abundant number, since it is smaller than the sum of its proper divisors (317155171466800).

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

212221001120000 is an frugal number, since it uses more digits than its factorization.

212221001120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73578 (or 73549 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 212221001120000 its reverse (21100122212), we get a palindrome (212242101242212).

The spelling of 212221001120000 in words is "two hundred twelve trillion, two hundred twenty-one billion, one million, one hundred twenty thousand".