1211121112200 has 192 divisors, whose sum is σ = 3792639576960. Its totient is φ = 319685560320.

The previous prime is 1211121112199. The next prime is 1211121112211. The reversal of 1211121112200 is 22111211121.

It is a happy number.

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 1211121112200.

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, 271732372 + ... + 271736828.

It is an arithmetic number, because the mean of its divisors is an integer number (19753331130).

Almost surely, 2^{1211121112200} is an apocalyptic number.

1211121112200 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 1211121112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1896319788480).

1211121112200 is an abundant number, since it is smaller than the sum of its proper divisors (2581518464760).

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

1211121112200 is a wasteful number, since it uses less digits than its factorization.

1211121112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8976 (or 8967 counting only the distinct ones).

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

Adding to 1211121112200 its reverse (22111211121), we get a palindrome (1233232323321).

The spelling of 1211121112200 in words is "one trillion, two hundred eleven billion, one hundred twenty-one million, one hundred twelve thousand, two hundred".