1121201111200 has 216 divisors, whose sum is σ = 3011929099200. Its totient is φ = 406400417280.

The previous prime is 1121201111179. The next prime is 1121201111281. The reversal of 1121201111200 is 21111021211.

It is a happy number.

It is a super-2 number, since 2×1121201111200² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7971081 + ... + 8110519.

It is an arithmetic number, because the mean of its divisors is an integer number (13944116200).

Almost surely, 2^{1121201111200} is an apocalyptic number.

1121201111200 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 1121201111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1505964549600).

1121201111200 is an abundant number, since it is smaller than the sum of its proper divisors (1890727988000).

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

1121201111200 is a wasteful number, since it uses less digits than its factorization.

1121201111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139524 (or 139488 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 1121201111200 its reverse (21111021211), we get a palindrome (1142312132411).

The spelling of 1121201111200 in words is "one trillion, one hundred twenty-one billion, two hundred one million, one hundred eleven thousand, two hundred".