212201210000220 has 576 divisors, whose sum is σ = 741099172455936. Its totient is φ = 45072285941760.

The previous prime is 212201210000189. The next prime is 212201210000243. The reversal of 212201210000220 is 22000012102212.

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

It is a self number, because there is not a number n which added to its sum of digits gives 212201210000220.

It is a congruent number.

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, 7139278279 + ... + 7139308001.

It is an arithmetic number, because the mean of its divisors is an integer number (1286630507736).

Almost surely, 2^{212201210000220} is an apocalyptic number.

212201210000220 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 212201210000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370549586227968).

212201210000220 is an abundant number, since it is smaller than the sum of its proper divisors (528897962455716).

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

212201210000220 is a wasteful number, since it uses less digits than its factorization.

212201210000220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31570 (or 31561 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 212201210000220 its reverse (22000012102212), we get a palindrome (234201222102432).

The spelling of 212201210000220 in words is "two hundred twelve trillion, two hundred one billion, two hundred ten million, two hundred twenty", and thus it is an aban number.