Search a number
-
+
12020317704000 = 26365317313911
BaseRepresentation
bin1010111011101011001011…
…0001000100111101000000
31120120010112121102102000000
42232322302301010331000
53033420102313012000
641322020245000000
72350303451443104
oct256726261047500
946503477372000
1012020317704000
113914873a7a611
1214217500b3000
13692684b53648
142d7b02165904
1515ca219e6000
hexaeeb2c44f40

12020317704000 has 1568 divisors, whose sum is σ = 48794380756992. Its totient is φ = 2918799360000.

The previous prime is 12020317703917. The next prime is 12020317704001. The reversal of 12020317704000 is 40771302021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12020317704001) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 3073462045 + ... + 3073465955.

Almost surely, 212020317704000 is an apocalyptic number.

12020317704000 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 12020317704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24397190378496).

12020317704000 is an abundant number, since it is smaller than the sum of its proper divisors (36774063052992).

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

12020317704000 is an equidigital number, since it uses as much as digits as its factorization.

12020317704000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4004 (or 3969 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The spelling of 12020317704000 in words is "twelve trillion, twenty billion, three hundred seventeen million, seven hundred four thousand".