Search a number
-
+
12080844092400 = 24352191787296509
BaseRepresentation
bin1010111111001100101001…
…1010111011001111110000
31120202220202210111111212220
42233303022122323033300
53040413032041424100
641405510235321040
72354545402321626
oct257631232731760
946686683444786
1012080844092400
1139385035a8006
1214314222b0180
136982ac674a55
142daa048bd516
1515e3b5575aa0
hexafcca6bb3f0

12080844092400 has 240 divisors, whose sum is σ = 40758691574400. Its totient is φ = 3050284538880.

The previous prime is 12080844092393. The next prime is 12080844092431. The reversal of 12080844092400 is 429044808021.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40595346 + ... + 40891854.

It is an arithmetic number, because the mean of its divisors is an integer number (169827881560).

Almost surely, 212080844092400 is an apocalyptic number.

12080844092400 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 12080844092400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20379345787200).

12080844092400 is an abundant number, since it is smaller than the sum of its proper divisors (28677847482000).

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

12080844092400 is a wasteful number, since it uses less digits than its factorization.

12080844092400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298336 (or 298325 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The spelling of 12080844092400 in words is "twelve trillion, eighty billion, eight hundred forty-four million, ninety-two thousand, four hundred".