19201312 has 48 divisors (see below), whose sum is σ = 41203512. Its totient is φ = 8755200.

The previous prime is 19201309. The next prime is 19201319. The reversal of 19201312 is 21310291.

It can be written as a sum of positive squares in 4 ways, for example, as 19044496 + 156816 = 4364^2 + 396^2 .

19201312 is a modest number, since divided by 1312 gives 192 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 19201312.

It is not an unprimeable number, because it can be changed into a prime (19201319) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 41788 + ... + 42244.

Almost surely, 2^19201312 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 19201312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20601756).

19201312 is an abundant number, since it is smaller than the sum of its proper divisors (22002200).

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

19201312 is a wasteful number, since it uses less digits than its factorization.

19201312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

The square root of 19201312 is about 4381.9301683162. The cubic root of 19201312 is about 267.7792791719.

The spelling of 19201312 in words is "nineteen million, two hundred one thousand, three hundred twelve".