12201121012200 has 96 divisors (see below), whose sum is σ = 39814184392800. Its totient is φ = 3082388463360.

The previous prime is 12201121012183. The next prime is 12201121012261. The reversal of 12201121012200 is 221012110221.

It is a super-3 number, since 3×12201121012200³ (a number of 40 digits) contains 333 as substring.

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 12201121012200.

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, 535125487 + ... + 535148286.

It is an arithmetic number, because the mean of its divisors is an integer number (414731087425).

Almost surely, 2^{12201121012200} is an apocalyptic number.

12201121012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12201121012200 is an abundant number, since it is smaller than the sum of its proper divisors (27613063380600).

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

12201121012200 is a wasteful number, since it uses less digits than its factorization.

12201121012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070273811 (or 1070273802 counting only the distinct ones).

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

Adding to 12201121012200 its reverse (221012110221), we get a palindrome (12422133122421).

The spelling of 12201121012200 in words is "twelve trillion, two hundred one billion, one hundred twenty-one million, twelve thousand, two hundred".