12121111012200 has 96 divisors (see below), whose sum is σ = 37772174568960. Its totient is φ = 3215373222400.

The previous prime is 12121111012177. The next prime is 12121111012247. The reversal of 12121111012200 is 221011112121.

It is a happy number.

It is a super-2 number, since 2×12121111012200² (a number of 27 digits) contains 22 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 12121111012200.

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, 52769829 + ... + 52999028.

It is an arithmetic number, because the mean of its divisors is an integer number (393460151760).

Almost surely, 2^{12121111012200} is an apocalyptic number.

12121111012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12121111012200 is an abundant number, since it is smaller than the sum of its proper divisors (25651063556760).

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

12121111012200 is a wasteful number, since it uses less digits than its factorization.

12121111012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105769067 (or 105769058 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 12121111012200 its reverse (221011112121), we get a palindrome (12342122124321).

The spelling of 12121111012200 in words is "twelve trillion, one hundred twenty-one billion, one hundred eleven million, twelve thousand, two hundred".