Search a number
-
+
12011313230000 = 245472311176679
BaseRepresentation
bin1010111011001001101000…
…0011101111000010110000
31120112021022001220201210222
42232302122003233002300
53033243132141330000
641313530543512212
72346534352616240
oct256623203570260
946467261821728
1012011313230000
113910a73202a67
12141ba585b8668
1369187b497b16
142d74ca307b20
1515c696233a85
hexaec9a0ef0b0

12011313230000 has 400 divisors, whose sum is σ = 34716203258880. Its totient is φ = 3934998144000.

The previous prime is 12011313229973. The next prime is 12011313230093. The reversal of 12011313230000 is 3231311021.

It is a tau number, because it is divible by the number of its divisors (400).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1798366661 + ... + 1798373339.

Almost surely, 212011313230000 is an apocalyptic number.

12011313230000 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 12011313230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17358101629440).

12011313230000 is an abundant number, since it is smaller than the sum of its proper divisors (22704890028880).

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

12011313230000 is a wasteful number, since it uses less digits than its factorization.

12011313230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7854 (or 7833 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 12011313230000 its reverse (3231311021), we get a palindrome (12014544541021).

The spelling of 12011313230000 in words is "twelve trillion, eleven billion, three hundred thirteen million, two hundred thirty thousand".