191120000 has 80 divisors (see below), whose sum is σ = 475980450. Its totient is φ = 76416000.

The previous prime is 191119931. The next prime is 191120003. The reversal of 191120000 is 21191.

It can be written as a sum of positive squares in 5 ways, for example, as 238144 + 190881856 = 488^2 + 13816^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (191120003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 78806 + ... + 81194.

Almost surely, 2^191120000 is an apocalyptic number.

191120000 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 191120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237990225).

191120000 is an abundant number, since it is smaller than the sum of its proper divisors (284860450).

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

191120000 is an frugal number, since it uses more digits than its factorization.

191120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2423 (or 2396 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

The square root of 191120000 is about 13824.6157270284. The cubic root of 191120000 is about 576.0171034016.

Adding to 191120000 its reverse (21191), we get a palindrome (191141191).

The spelling of 191120000 in words is "one hundred ninety-one million, one hundred twenty thousand".