212201122202000 has 80 divisors (see below), whose sum is σ = 513106656207600. Its totient is φ = 84879730483200.

The previous prime is 212201122201963. The next prime is 212201122202009. The reversal of 212201122202000 is 202221102212.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 176718418428304 + 35482703773696 = 13293548^2 + 5956736^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 212201122202000.

It is not an unprimeable number, because it can be changed into a prime (212201122202009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279558986 + ... + 280317014.

It is an arithmetic number, because the mean of its divisors is an integer number (6413833202595).

Almost surely, 2^{212201122202000} is an apocalyptic number.

212201122202000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212201122202000 is an abundant number, since it is smaller than the sum of its proper divisors (300905534005600).

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

212201122202000 is a wasteful number, since it uses less digits than its factorization.

212201122202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898021 (or 898005 counting only the distinct ones).

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

Adding to 212201122202000 its reverse (202221102212), we get a palindrome (212403343304212).

The spelling of 212201122202000 in words is "two hundred twelve trillion, two hundred one billion, one hundred twenty-two million, two hundred two thousand".