1131120223200 has 360 divisors, whose sum is σ = 4499976123720. Its totient is φ = 274210790400.

The previous prime is 1131120223147. The next prime is 1131120223201. The reversal of 1131120223200 is 23220211311.

1131120223200 is a `hidden beast` number, since 11 + 311 + 2 + 0 + 22 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131120223201) 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 59 ways as a sum of consecutive naturals, for example, 80635 + ... + 1506234.

It is an arithmetic number, because the mean of its divisors is an integer number (12499933677).

Almost surely, 2^{1131120223200} is an apocalyptic number.

1131120223200 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 1131120223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2249988061860).

1131120223200 is an abundant number, since it is smaller than the sum of its proper divisors (3368855900520).

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

1131120223200 is a wasteful number, since it uses less digits than its factorization.

1131120223200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586912 (or 1586890 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1131120223200 its reverse (23220211311), we get a palindrome (1154340434511).

The spelling of 1131120223200 in words is "one trillion, one hundred thirty-one billion, one hundred twenty million, two hundred twenty-three thousand, two hundred".