1221113131200 has 1008 divisors, whose sum is σ = 4605066569376. Its totient is φ = 306516787200.

The previous prime is 1221113131159. The next prime is 1221113131207. The reversal of 1221113131200 is 21313111221.

1221113131200 is a `hidden beast` number, since 1 + 221 + 1 + 131 + 312 + 0 + 0 = 666.

It is a super-2 number, since 2×1221113131200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1221113131207) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 2343786940 + ... + 2343787460.

It is an arithmetic number, because the mean of its divisors is an integer number (4568518422).

Almost surely, 2^{1221113131200} is an apocalyptic number.

1221113131200 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 1221113131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2302533284688).

1221113131200 is an abundant number, since it is smaller than the sum of its proper divisors (3383953438176).

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

1221113131200 is a wasteful number, since it uses less digits than its factorization.

1221113131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1221113131200 its reverse (21313111221), we get a palindrome (1242426242421).

The spelling of 1221113131200 in words is "one trillion, two hundred twenty-one billion, one hundred thirteen million, one hundred thirty-one thousand, two hundred".