212201120011120 has 20 divisors (see below), whose sum is σ = 493367604026040. Its totient is φ = 84880448004416.

The previous prime is 212201120011091. The next prime is 212201120011121. The reversal of 212201120011120 is 21110021102212.

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 212201120011094 and 212201120011103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212201120011121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1326256999990 + ... + 1326257000149.

It is an arithmetic number, because the mean of its divisors is an integer number (24668380201302).

Almost surely, 2^{212201120011120} is an apocalyptic number.

212201120011120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212201120011120 is an abundant number, since it is smaller than the sum of its proper divisors (281166484014920).

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

212201120011120 is a wasteful number, since it uses less digits than its factorization.

212201120011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2652514000152 (or 2652514000146 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 212201120011120 its reverse (21110021102212), we get a palindrome (233311141113332).

The spelling of 212201120011120 in words is "two hundred twelve trillion, two hundred one billion, one hundred twenty million, eleven thousand, one hundred twenty".