19012 has 18 divisors (see below), whose sum is σ = 39102. Its totient is φ = 8064.

The previous prime is 19009. The next prime is 19013. The reversal of 19012 is 21091.

It can be written as a sum of positive squares in only one way, i.e., 15876 + 3136 = 126^2 + 56^2 .

It is a super-2 number, since 2×19012² = 722912288, which contains 22 as substring.

It is a nialpdrome in base 13.

It is a zygodrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 18983 and 19001.

It is not an unprimeable number, because it can be changed into a prime (19013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 148 + ... + 244.

2¹⁹⁰¹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19551).

19012 is an abundant number, since it is smaller than the sum of its proper divisors (20090).

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

19012 is a wasteful number, since it uses less digits than its factorization.

19012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 19012 is about 137.8840092251. The cubic root of 19012 is about 26.6896329926.

It can be divided in two parts, 190 and 12, that added together give a palindrome (202).

The spelling of 19012 in words is "nineteen thousand, twelve".