12012101121200 has 240 divisors, whose sum is σ = 31354882873344. Its totient is φ = 4404984729600.

The previous prime is 12012101121191. The next prime is 12012101121257. The reversal of 12012101121200 is 212110121021.

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 47 ways as a sum of consecutive naturals, for example, 67346537 + ... + 67524663.

Almost surely, 2^{12012101121200} is an apocalyptic number.

12012101121200 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 12012101121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15677441436672).

12012101121200 is an abundant number, since it is smaller than the sum of its proper divisors (19342781752144).

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

12012101121200 is a wasteful number, since it uses less digits than its factorization.

12012101121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178420 (or 178409 counting only the distinct ones).

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

Adding to 12012101121200 its reverse (212110121021), we get a palindrome (12224211242221).

The spelling of 12012101121200 in words is "twelve trillion, twelve billion, one hundred one million, one hundred twenty-one thousand, two hundred".