12161346912 has 384 divisors, whose sum is σ = 41943121920. Its totient is φ = 3379691520.

The previous prime is 12161346877. The next prime is 12161346917. The reversal of 12161346912 is 21964316121.

It is a happy number.

12161346912 is a `hidden beast` number, since 1 + 21 + 613 + 4 + 6 + 9 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12161346917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31752673 + ... + 31753055.

It is an arithmetic number, because the mean of its divisors is an integer number (109226880).

Almost surely, 2^12161346912 is an apocalyptic number.

12161346912 is a gapful number since it is divisible by the number (12) 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 12161346912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20971560960).

12161346912 is an abundant number, since it is smaller than the sum of its proper divisors (29781775008).

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

12161346912 is a wasteful number, since it uses less digits than its factorization.

12161346912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 669 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The spelling of 12161346912 in words is "twelve billion, one hundred sixty-one million, three hundred forty-six thousand, nine hundred twelve".