19812000 has 192 divisors, whose sum is σ = 70447104. Its totient is φ = 4838400.

The previous prime is 19811971. The next prime is 19812031. The reversal of 19812000 is 21891.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155937 + ... + 156063.

It is an arithmetic number, because the mean of its divisors is an integer number (366912).

Almost surely, 2^19812000 is an apocalyptic number.

19812000 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 19812000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35223552).

19812000 is an abundant number, since it is smaller than the sum of its proper divisors (50635104).

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

19812000 is a wasteful number, since it uses less digits than its factorization.

19812000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 19812000 is about 4451.0672877412. The cubic root of 19812000 is about 270.5885651799.

Adding to 19812000 its reverse (21891), we get a palindrome (19833891).

The spelling of 19812000 in words is "nineteen million, eight hundred twelve thousand".