2011201121200 has 60 divisors (see below), whose sum is σ = 4998528332640. Its totient is φ = 776739738880.

The previous prime is 2011201121143. The next prime is 2011201121201. The reversal of 2011201121200 is 21211021102.

It is a super-2 number, since 2×2011201121200² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2011201121201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86678104 + ... + 86701303.

It is an arithmetic number, because the mean of its divisors is an integer number (83308805544).

Almost surely, 2^{2011201121200} is an apocalyptic number.

2011201121200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011201121200 is an abundant number, since it is smaller than the sum of its proper divisors (2987327211440).

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

2011201121200 is a wasteful number, since it uses less digits than its factorization.

2011201121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173379454 (or 173379443 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2011201121200 its reverse (21211021102), we get a palindrome (2032412142302).

The spelling of 2011201121200 in words is "two trillion, eleven billion, two hundred one million, one hundred twenty-one thousand, two hundred".