12002000 has 80 divisors (see below), whose sum is σ = 30814992. Its totient is φ = 4505600.

The previous prime is 12001999. The next prime is 12002059. The reversal of 12002000 is 20021.

It can be written as a sum of positive squares in 8 ways, for example, as 2808976 + 9193024 = 1676^2 + 3032^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (5).

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, 33824 + ... + 34176.

Almost surely, 2^12002000 is an apocalyptic number.

12002000 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 12002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15407496).

12002000 is an abundant number, since it is smaller than the sum of its proper divisors (18812992).

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

12002000 is a wasteful number, since it uses less digits than its factorization.

12002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

The square root of 12002000 is about 3464.3902782452. The cubic root of 12002000 is about 228.9555668513.

Adding to 12002000 its reverse (20021), we get a palindrome (12022021).

The spelling of 12002000 in words is "twelve million, two thousand".