12003271509120 has 128 divisors (see below), whose sum is σ = 38274704677440. Its totient is φ = 3199678009344.

The previous prime is 12003271509109. The next prime is 12003271509179. The reversal of 12003271509120 is 2190517230021.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3986302 + ... + 6316418.

Almost surely, 2^{12003271509120} is an apocalyptic number.

12003271509120 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 12003271509120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19137352338720).

12003271509120 is an abundant number, since it is smaller than the sum of its proper divisors (26271433168320).

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

12003271509120 is a wasteful number, since it uses less digits than its factorization.

12003271509120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2332822 (or 2332810 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

Adding to 12003271509120 its reverse (2190517230021), we get a palindrome (14193788739141).

The spelling of 12003271509120 in words is "twelve trillion, three billion, two hundred seventy-one million, five hundred nine thousand, one hundred twenty".