12141320320 has 64 divisors (see below), whose sum is σ = 29132864640. Its totient is φ = 4838538240.

The previous prime is 12141320309. The next prime is 12141320353. The reversal of 12141320320 is 2302314121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×12141320320² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138439 + ... + 208441.

It is an arithmetic number, because the mean of its divisors is an integer number (455201010).

Almost surely, 2^12141320320 is an apocalyptic number.

12141320320 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 12141320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14566432320).

12141320320 is an abundant number, since it is smaller than the sum of its proper divisors (16991544320).

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

12141320320 is an equidigital number, since it uses as much as digits as its factorization.

12141320320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70293 (or 70281 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 12141320320 its reverse (2302314121), we get a palindrome (14443634441).

The spelling of 12141320320 in words is "twelve billion, one hundred forty-one million, three hundred twenty thousand, three hundred twenty".