191012000 has 144 divisors (see below), whose sum is σ = 506476152. Its totient is φ = 70553600.

The previous prime is 191011999. The next prime is 191012027. The reversal of 191012000 is 210191.

It can be written as a sum of positive squares in 12 ways, for example, as 5071504 + 185940496 = 2252^2 + 13636^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3603974 + ... + 3604026.

Almost surely, 2^191012000 is an apocalyptic number.

191012000 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 191012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253238076).

191012000 is an abundant number, since it is smaller than the sum of its proper divisors (315464152).

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

191012000 is an equidigital number, since it uses as much as digits as its factorization.

191012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 77 counting only the distinct ones).

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

The square root of 191012000 is about 13820.7090990296. The cubic root of 191012000 is about 575.9085824568.

Adding to 191012000 its reverse (210191), we get a palindrome (191222191).

The spelling of 191012000 in words is "one hundred ninety-one million, twelve thousand".