12011120321200 has 1440 divisors, whose sum is σ = 40650178222080. Its totient is φ = 3314691072000.

The previous prime is 12011120321191. The next prime is 12011120321219. The reversal of 12011120321200 is 212302111021.

12011120321200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12011120321200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 34614179427 + ... + 34614179773.

It is an arithmetic number, because the mean of its divisors is an integer number (28229290432).

Almost surely, 2^{12011120321200} is an apocalyptic number.

12011120321200 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 12011120321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20325089111040).

12011120321200 is an abundant number, since it is smaller than the sum of its proper divisors (28639057900880).

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

12011120321200 is a wasteful number, since it uses less digits than its factorization.

12011120321200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 12011120321200 its reverse (212302111021), we get a palindrome (12223422432221).

The spelling of 12011120321200 in words is "twelve trillion, eleven billion, one hundred twenty million, three hundred twenty-one thousand, two hundred".