12180913989120 has 320 divisors, whose sum is σ = 43365400151040. Its totient is φ = 3240903204864.

The previous prime is 12180913989107. The next prime is 12180913989121. The reversal of 12180913989120 is 2198931908121.

It is a happy number.

12180913989120 is a `hidden beast` number, since 1 + 2 + 1 + 80 + 91 + 398 + 91 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×12180913989120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12180913989121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30421257 + ... + 30819063.

It is an arithmetic number, because the mean of its divisors is an integer number (135516875472).

Almost surely, 2^{12180913989120} is an apocalyptic number.

12180913989120 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 12180913989120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21682700075520).

12180913989120 is an abundant number, since it is smaller than the sum of its proper divisors (31184486161920).

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

12180913989120 is an equidigital number, since it uses as much as digits as its factorization.

12180913989120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398282 (or 398260 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 54.

The spelling of 12180913989120 in words is "twelve trillion, one hundred eighty billion, nine hundred thirteen million, nine hundred eighty-nine thousand, one hundred twenty".