12001920 has 256 divisors, whose sum is σ = 47001600. Its totient is φ = 2543616.

The previous prime is 12001909. The next prime is 12001921. The reversal of 12001920 is 2910021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12001920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 255337 + ... + 255383.

It is an arithmetic number, because the mean of its divisors is an integer number (183600).

Almost surely, 2^12001920 is an apocalyptic number.

12001920 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 12001920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23500800).

12001920 is an abundant number, since it is smaller than the sum of its proper divisors (34999680).

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

12001920 is a wasteful number, since it uses less digits than its factorization.

12001920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 12001920 is about 3464.3787321827. The cubic root of 12001920 is about 228.9550581448.

Adding to 12001920 its reverse (2910021), we get a palindrome (14911941).

It can be divided in two parts, 12001 and 920, that added together give a palindrome (12921).

The spelling of 12001920 in words is "twelve million, one thousand, nine hundred twenty".