Search a number
-
+
12002332013322 = 2375961127673929
BaseRepresentation
bin1010111010101000001010…
…1111000111001100001010
31120111102010011011122200020
42232222002233013030022
53033121233443411242
641305443433121310
72346065655546120
oct256520257071412
946442104148606
1012002332013322
113908184580a42
12141a170859236
13690a79893221
142d6cb75c1910
1515c31ca176ec
hexaea82bc730a

12002332013322 has 256 divisors, whose sum is σ = 28652794675200. Its totient is φ = 3281317724160.

The previous prime is 12002332013279. The next prime is 12002332013401. The reversal of 12002332013322 is 22331023320021.

It is a junction number, because it is equal to n+sod(n) for n = 12002332013292 and 12002332013301.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12919624954 + ... + 12919625882.

It is an arithmetic number, because the mean of its divisors is an integer number (111924979200).

Almost surely, 212002332013322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12002332013322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14326397337600).

12002332013322 is an abundant number, since it is smaller than the sum of its proper divisors (16650462661878).

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

12002332013322 is a wasteful number, since it uses less digits than its factorization.

12002332013322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1861.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 12002332013322 its reverse (22331023320021), we get a palindrome (34333355333343).

The spelling of 12002332013322 in words is "twelve trillion, two billion, three hundred thirty-two million, thirteen thousand, three hundred twenty-two".