12002211221100 has 72 divisors (see below), whose sum is σ = 35084401985808. Its totient is φ = 3167593881600.

The previous prime is 12002211221083. The next prime is 12002211221111. The reversal of 12002211221100 is 112211220021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12002211221100.

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, 206194461 + ... + 206252660.

It is an arithmetic number, because the mean of its divisors is an integer number (487283360914).

Almost surely, 2^{12002211221100} is an apocalyptic number.

12002211221100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12002211221100 is an abundant number, since it is smaller than the sum of its proper divisors (23082190764708).

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

12002211221100 is a wasteful number, since it uses less digits than its factorization.

12002211221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412447235 (or 412447228 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12002211221100 its reverse (112211220021), we get a palindrome (12114422441121).

The spelling of 12002211221100 in words is "twelve trillion, two billion, two hundred eleven million, two hundred twenty-one thousand, one hundred".