12211212212100 has 216 divisors, whose sum is σ = 42258019501152. Its totient is φ = 2924627481600.

The previous prime is 12211212212099. The next prime is 12211212212201. The reversal of 12211212212100 is 121221211221.

12211212212100 is a `hidden beast` number, since 1 + 2 + 211 + 21 + 221 + 210 + 0 = 666.

It is a super-2 number, since 2×12211212212100² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 6608757 + ... + 8252156.

It is an arithmetic number, because the mean of its divisors is an integer number (195638979172).

Almost surely, 2^{12211212212100} is an apocalyptic number.

12211212212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211212212100 is an abundant number, since it is smaller than the sum of its proper divisors (30046807289052).

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

12211212212100 is a wasteful number, since it uses less digits than its factorization.

12211212212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14861027 (or 14861017 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12211212212100 its reverse (121221211221), we get a palindrome (12332433423321).

It can be divided in two parts, 12 and 211212212100, that added together give a palindrome (211212212112).

The spelling of 12211212212100 in words is "twelve trillion, two hundred eleven billion, two hundred twelve million, two hundred twelve thousand, one hundred".