12161130657280 has 160 divisors (see below), whose sum is σ = 31822189454880. Its totient is φ = 4420389765120.

The previous prime is 12161130657257. The next prime is 12161130657281. The reversal of 12161130657280 is 8275603116121.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12161130657281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68537316 + ... + 68714524.

It is an arithmetic number, because the mean of its divisors is an integer number (198888684093).

Almost surely, 2^{12161130657280} is an apocalyptic number.

12161130657280 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 12161130657280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15911094727440).

12161130657280 is an abundant number, since it is smaller than the sum of its proper divisors (19661058797600).

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

12161130657280 is a wasteful number, since it uses less digits than its factorization.

12161130657280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179680 (or 179664 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 43.

The spelling of 12161130657280 in words is "twelve trillion, one hundred sixty-one billion, one hundred thirty million, six hundred fifty-seven thousand, two hundred eighty".