12048033 has 8 divisors (see below), whose sum is σ = 16909600. Its totient is φ = 7609248.

The previous prime is 12047989. The next prime is 12048073. The reversal of 12048033 is 33084021.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 12048033 - 2¹⁶ = 11982497 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12048073) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105628 + ... + 105741.

It is an arithmetic number, because the mean of its divisors is an integer number (2113700).

Almost surely, 2^12048033 is an apocalyptic number.

It is an amenable number.

12048033 is a deficient number, since it is larger than the sum of its proper divisors (4861567).

12048033 is a wasteful number, since it uses less digits than its factorization.

12048033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211391.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 12048033 is about 3471.0276576253. The cubic root of 12048033 is about 229.2479088409.

The spelling of 12048033 in words is "twelve million, forty-eight thousand, thirty-three".