212221211002200 has 144 divisors (see below), whose sum is σ = 735700198334400. Its totient is φ = 54766764115200.

The previous prime is 212221211002189. The next prime is 212221211002201. The reversal of 212221211002200 is 2200112122212.

It is a happy number.

212221211002200 is a `hidden beast` number, since 2 + 1 + 222 + 121 + 100 + 220 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212221211002201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1901567955 + ... + 1901679554.

It is an arithmetic number, because the mean of its divisors is an integer number (5109029155100).

Almost surely, 2^{212221211002200} is an apocalyptic number.

212221211002200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212221211002200 is an abundant number, since it is smaller than the sum of its proper divisors (523478987332200).

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

212221211002200 is a wasteful number, since it uses less digits than its factorization.

212221211002200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3803247562 (or 3803247550 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212221211002200 its reverse (2200112122212), we get a palindrome (214421323124412).

The spelling of 212221211002200 in words is "two hundred twelve trillion, two hundred twenty-one billion, two hundred eleven million, two thousand, two hundred".