212221222001120 has 384 divisors, whose sum is σ = 527247777982464. Its totient is φ = 80640115605504.

The previous prime is 212221222001101. The next prime is 212221222001207. The reversal of 212221222001120 is 21100222122212.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 212221222001092 and 212221222001101.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 92551774694 + ... + 92551776986.

It is an arithmetic number, because the mean of its divisors is an integer number (1373041088496).

Almost surely, 2^{212221222001120} is an apocalyptic number.

212221222001120 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 212221222001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263623888991232).

212221222001120 is an abundant number, since it is smaller than the sum of its proper divisors (315026555981344).

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

212221222001120 is a wasteful number, since it uses less digits than its factorization.

212221222001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4074 (or 4066 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 212221222001120 its reverse (21100222122212), we get a palindrome (233321444123332).

The spelling of 212221222001120 in words is "two hundred twelve trillion, two hundred twenty-one billion, two hundred twenty-two million, one thousand, one hundred twenty".