12212120022100 has 72 divisors (see below), whose sum is σ = 28060504247160. Its totient is φ = 4597280747520.

The previous prime is 12212120022079. The next prime is 12212120022161. The reversal of 12212120022100 is 122002121221.

It is a happy number.

12212120022100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 460840037904 + 11751279984196 = 678852^2 + 3428014^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37197466 + ... + 37524334.

It is an arithmetic number, because the mean of its divisors is an integer number (389729225655).

Almost surely, 2^{12212120022100} is an apocalyptic number.

12212120022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12212120022100 is an abundant number, since it is smaller than the sum of its proper divisors (15848384225060).

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

12212120022100 is a wasteful number, since it uses less digits than its factorization.

12212120022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348877 (or 348870 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12212120022100 its reverse (122002121221), we get a palindrome (12334122143321).

The spelling of 12212120022100 in words is "twelve trillion, two hundred twelve billion, one hundred twenty million, twenty-two thousand, one hundred".