12301164521120 has 96 divisors (see below), whose sum is σ = 29211810679296. Its totient is φ = 4895036697600.

The previous prime is 12301164521089. The next prime is 12301164521167. The reversal of 12301164521120 is 2112546110321.

It is a happy number.

It is a super-2 number, since 2×12301164521120² (a number of 27 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 79495025 + ... + 79649615.

It is an arithmetic number, because the mean of its divisors is an integer number (304289694576).

Almost surely, 2^{12301164521120} is an apocalyptic number.

12301164521120 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 12301164521120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14605905339648).

12301164521120 is an abundant number, since it is smaller than the sum of its proper divisors (16910646158176).

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

12301164521120 is a wasteful number, since it uses less digits than its factorization.

12301164521120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157174 (or 157166 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The spelling of 12301164521120 in words is "twelve trillion, three hundred one billion, one hundred sixty-four million, five hundred twenty-one thousand, one hundred twenty".