12165342240 has 192 divisors, whose sum is σ = 40294920960. Its totient is φ = 3080663040.

The previous prime is 12165342199. The next prime is 12165342247. The reversal of 12165342240 is 4224356121.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12165342198 and 12165342207.

It is not an unprimeable number, because it can be changed into a prime (12165342247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 841957 + ... + 856283.

It is an arithmetic number, because the mean of its divisors is an integer number (209869380).

Almost surely, 2^12165342240 is an apocalyptic number.

12165342240 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 12165342240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20147460480).

12165342240 is an abundant number, since it is smaller than the sum of its proper divisors (28129578720).

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

12165342240 is a wasteful number, since it uses less digits than its factorization.

12165342240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14435 (or 14427 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 12165342240 its reverse (4224356121), we get a palindrome (16389698361).

The spelling of 12165342240 in words is "twelve billion, one hundred sixty-five million, three hundred forty-two thousand, two hundred forty".