191412000 has 288 divisors, whose sum is σ = 733365360. Its totient is φ = 47001600.

The previous prime is 191411971. The next prime is 191412029. The reversal of 191412000 is 214191.

It is an interprime number because it is at equal distance from previous prime (191411971) and next prime (191412029).

It can be written as a sum of positive squares in 8 ways, for example, as 9809424 + 181602576 = 3132^2 + 13476^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 467796 + ... + 468204.

Almost surely, 2^191412000 is an apocalyptic number.

191412000 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 191412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366682680).

191412000 is an abundant number, since it is smaller than the sum of its proper divisors (541953360).

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

191412000 is a wasteful number, since it uses less digits than its factorization.

191412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 191412000 is about 13835.1725684937. The cubic root of 191412000 is about 576.3103073358.

Adding to 191412000 its reverse (214191), we get a palindrome (191626191).

The spelling of 191412000 in words is "one hundred ninety-one million, four hundred twelve thousand".