12111121201200 has 720 divisors, whose sum is σ = 45660075630624. Its totient is φ = 2735824896000.

The previous prime is 12111121201099. The next prime is 12111121201343. The reversal of 12111121201200 is 210212111121.

It is a happy number.

It is a super-2 number, since 2×12111121201200² (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 12111121201200.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6370920250 + ... + 6370922150.

Almost surely, 2^{12111121201200} is an apocalyptic number.

12111121201200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12111121201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22830037815312).

12111121201200 is an abundant number, since it is smaller than the sum of its proper divisors (33548954429424).

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

12111121201200 is a wasteful number, since it uses less digits than its factorization.

12111121201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3150 (or 3132 counting only the distinct ones).

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

Adding to 12111121201200 its reverse (210212111121), we get a palindrome (12321333312321).

The spelling of 12111121201200 in words is "twelve trillion, one hundred eleven billion, one hundred twenty-one million, two hundred one thousand, two hundred".