12169705873920 has 320 divisors, whose sum is σ = 44481584353536. Its totient is φ = 2780477521920.

The previous prime is 12169705873907. The next prime is 12169705873937. The reversal of 12169705873920 is 2937850796121.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131181792 + ... + 131274528.

Almost surely, 2^{12169705873920} is an apocalyptic number.

12169705873920 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 12169705873920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22240792176768).

12169705873920 is an abundant number, since it is smaller than the sum of its proper divisors (32311878479616).

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

12169705873920 is an equidigital number, since it uses as much as digits as its factorization.

12169705873920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95211 (or 95195 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 60.

The spelling of 12169705873920 in words is "twelve trillion, one hundred sixty-nine billion, seven hundred five million, eight hundred seventy-three thousand, nine hundred twenty".