12212021222100 has 270 divisors, whose sum is σ = 46049659722990. Its totient is φ = 2791319045760.

The previous prime is 12212021222099. The next prime is 12212021222123. The reversal of 12212021222100 is 122212021221.

It is a happy number.

12212021222100 is a `hidden beast` number, since 1 + 221 + 20 + 212 + 2 + 210 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 753010888644 + 11459010333456 = 867762^2 + 3385116^2 .

It is a tau number, because it is divible by the number of its divisors (270).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 14987355 + ... + 15781154.

Almost surely, 2^{12212021222100} is an apocalyptic number.

12212021222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12212021222100 is an abundant number, since it is smaller than the sum of its proper divisors (33837638500890).

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

12212021222100 is a wasteful number, since it uses less digits than its factorization.

12212021222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30768549 (or 30768526 counting only the distinct ones).

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

Adding to 12212021222100 its reverse (122212021221), we get a palindrome (12334233243321).

The spelling of 12212021222100 in words is "twelve trillion, two hundred twelve billion, twenty-one million, two hundred twenty-two thousand, one hundred".