1131789120 has 448 divisors, whose sum is σ = 4571707392. Its totient is φ = 230400000.

The previous prime is 1131789101. The next prime is 1131789121. The reversal of 1131789120 is 219871311.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×1131789120² = 2561893224300748800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131789121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4508995 + ... + 4509245.

It is an arithmetic number, because the mean of its divisors is an integer number (10204704).

Almost surely, 2^1131789120 is an apocalyptic number.

1131789120 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 1131789120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2285853696).

1131789120 is an abundant number, since it is smaller than the sum of its proper divisors (3439918272).

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

1131789120 is a wasteful number, since it uses less digits than its factorization.

1131789120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 33.

The square root of 1131789120 is about 33642.0736578470. The cubic root of 1131789120 is about 1042.1298561152.

The spelling of 1131789120 in words is "one billion, one hundred thirty-one million, seven hundred eighty-nine thousand, one hundred twenty".