12002301333120 has 256 divisors, whose sum is σ = 43737996902400. Its totient is φ = 2742421426176.

The previous prime is 12002301333049. The next prime is 12002301333149. The reversal of 12002301333120 is 2133310320021.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38538667 + ... + 38848853.

It is an arithmetic number, because the mean of its divisors is an integer number (170851550400).

Almost surely, 2^{12002301333120} is an apocalyptic number.

12002301333120 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 12002301333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21868998451200).

12002301333120 is an abundant number, since it is smaller than the sum of its proper divisors (31735695569280).

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

12002301333120 is a wasteful number, since it uses less digits than its factorization.

12002301333120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313095 (or 313083 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 12002301333120 its reverse (2133310320021), we get a palindrome (14135611653141).

The spelling of 12002301333120 in words is "twelve trillion, two billion, three hundred one million, three hundred thirty-three thousand, one hundred twenty".