1121333131200 has 336 divisors, whose sum is σ = 3861115301376. Its totient is φ = 284363059200.

The previous prime is 1121333131073. The next prime is 1121333131201. The reversal of 1121333131200 is 21313331211.

It is a happy number.

It is a super-2 number, since 2×1121333131200² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121333131201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19069845 + ... + 19128555.

Almost surely, 2^{1121333131200} is an apocalyptic number.

1121333131200 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 1121333131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1930557650688).

1121333131200 is an abundant number, since it is smaller than the sum of its proper divisors (2739782170176).

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

1121333131200 is a wasteful number, since it uses less digits than its factorization.

1121333131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58932 (or 58917 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 1121333131200 its reverse (21313331211), we get a palindrome (1142646462411).

The spelling of 1121333131200 in words is "one trillion, one hundred twenty-one billion, three hundred thirty-three million, one hundred thirty-one thousand, two hundred".