12181225163520 has 288 divisors, whose sum is σ = 44577596915712. Its totient is φ = 2777008029696.

The previous prime is 12181225163519. The next prime is 12181225163521. The reversal of 12181225163520 is 2536152218121.

It is an interprime number because it is at equal distance from previous prime (12181225163519) and next prime (12181225163521).

It is not an unprimeable number, because it can be changed into a prime (12181225163521) 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, 9703434 + ... + 10886646.

It is an arithmetic number, because the mean of its divisors is an integer number (154783322624).

Almost surely, 2^{12181225163520} is an apocalyptic number.

12181225163520 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 12181225163520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22288798457856).

12181225163520 is an abundant number, since it is smaller than the sum of its proper divisors (32396371752192).

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

12181225163520 is a wasteful number, since it uses less digits than its factorization.

12181225163520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1183627 (or 1183613 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The spelling of 12181225163520 in words is "twelve trillion, one hundred eighty-one billion, two hundred twenty-five million, one hundred sixty-three thousand, five hundred twenty".