1133892231120 has 800 divisors, whose sum is σ = 4607925252480. Its totient is φ = 255485767680.

The previous prime is 1133892231089. The next prime is 1133892231181. The reversal of 1133892231120 is 211322983311.

It is a happy number.

1133892231120 is a `hidden beast` number, since 1 + 1 + 338 + 9 + 2 + 2 + 311 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 71771062 + ... + 71786858.

Almost surely, 2^{1133892231120} is an apocalyptic number.

1133892231120 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 1133892231120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2303962626240).

1133892231120 is an abundant number, since it is smaller than the sum of its proper divisors (3474033021360).

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

1133892231120 is a wasteful number, since it uses less digits than its factorization.

1133892231120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15905 (or 15890 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 1133892231120 in words is "one trillion, one hundred thirty-three billion, eight hundred ninety-two million, two hundred thirty-one thousand, one hundred twenty".