12122102221200 has 90 divisors (see below), whose sum is σ = 42067061970674. Its totient is φ = 3232560591360.

The previous prime is 12122102221199. The next prime is 12122102221219. The reversal of 12122102221200 is 212220122121.

It is a happy number.

12122102221200 is a `hidden beast` number, since 1 + 21 + 221 + 0 + 2 + 221 + 200 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 3092125301136 + 9029976920064 = 1758444^2 + 3004992^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×12122102221200² (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 polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1683621709 + ... + 1683628908.

Almost surely, 2^{12122102221200} is an apocalyptic number.

12122102221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122102221200 is an abundant number, since it is smaller than the sum of its proper divisors (29944959749474).

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

12122102221200 is a wasteful number, since it uses less digits than its factorization.

12122102221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3367250641 (or 3367250627 counting only the distinct ones).

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

Adding to 12122102221200 its reverse (212220122121), we get a palindrome (12334322343321).

The spelling of 12122102221200 in words is "twelve trillion, one hundred twenty-two billion, one hundred two million, two hundred twenty-one thousand, two hundred".