12161160000 has 840 divisors, whose sum is σ = 49390365024. Its totient is φ = 2833920000.

The previous prime is 12161159981. The next prime is 12161160029. The reversal of 12161160000 is 6116121.

12161160000 is a `hidden beast` number, since 1 + 2 + 1 + 61 + 1 + 600 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 146519959 + ... + 146520041.

Almost surely, 2^12161160000 is an apocalyptic number.

12161160000 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 12161160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24695182512).

12161160000 is an abundant number, since it is smaller than the sum of its proper divisors (37229205024).

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

12161160000 is a wasteful number, since it uses less digits than its factorization.

12161160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 12161160000 its reverse (6116121), we get a palindrome (12167276121).

The spelling of 12161160000 in words is "twelve billion, one hundred sixty-one million, one hundred sixty thousand".