12165120000 has 680 divisors, whose sum is σ = 49135896480. Its totient is φ = 2949120000.

The previous prime is 12165119971. The next prime is 12165120053. The reversal of 12165120000 is 2156121.

12165120000 is a `hidden beast` number, since 12 + 1 + 651 + 2 + 0 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×12165120000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1105919995 + ... + 1105920005.

Almost surely, 2^12165120000 is an apocalyptic number.

12165120000 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 12165120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24567948240).

12165120000 is an abundant number, since it is smaller than the sum of its proper divisors (36970776480).

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

12165120000 is an frugal number, since it uses more digits than its factorization.

12165120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 12165120000 its reverse (2156121), we get a palindrome (12167276121).

The spelling of 12165120000 in words is "twelve billion, one hundred sixty-five million, one hundred twenty thousand".