12002016 has 96 divisors (see below), whose sum is σ = 34715520. Its totient is φ = 3608064.

The previous prime is 12001999. The next prime is 12002059. The reversal of 12002016 is 61020021.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12001992 and 12002010.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 73551 + ... + 73713.

It is an arithmetic number, because the mean of its divisors is an integer number (361620).

Almost surely, 2^12002016 is an apocalyptic number.

12002016 is a gapful number since it is divisible by the number (16) 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 12002016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17357760).

12002016 is an abundant number, since it is smaller than the sum of its proper divisors (22713504).

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

12002016 is a wasteful number, since it uses less digits than its factorization.

12002016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 12002016 is about 3464.3925874531. The cubic root of 12002016 is about 228.9556685923.

Adding to 12002016 its reverse (61020021), we get a palindrome (73022037).

The spelling of 12002016 in words is "twelve million, two thousand, sixteen".