12201212011100 has 72 divisors (see below), whose sum is σ = 30259472332320. Its totient is φ = 4183208190720.

The previous prime is 12201212011063. The next prime is 12201212011117. The reversal of 12201212011100 is 111021210221.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76470206 + ... + 76629594.

It is an arithmetic number, because the mean of its divisors is an integer number (420270449060).

Almost surely, 2^{12201212011100} is an apocalyptic number.

12201212011100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12201212011100 is an abundant number, since it is smaller than the sum of its proper divisors (18058260321220).

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

12201212011100 is a wasteful number, since it uses less digits than its factorization.

12201212011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268767 (or 268760 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12201212011100 its reverse (111021210221), we get a palindrome (12312233221321).

The spelling of 12201212011100 in words is "twelve trillion, two hundred one billion, two hundred twelve million, eleven thousand, one hundred".