Search a number
-
+
12201122212199 = 41661490991711
BaseRepresentation
bin1011000110001100101110…
…0011100010100101100111
31121012102020012000002000122
42301203023203202211213
53044400344241242244
641541041305032155
72366334116424134
oct261431343424547
947172205002018
1012201122212199
1139845154516a8
1214507ab18565b
136a673a368a3b
14302774b4158b
151625a4b671ee
hexb18cb8e2967

12201122212199 has 16 divisors (see below), whose sum is σ = 12520305799680. Its totient is φ = 11882974752000.

The previous prime is 12201122212129. The next prime is 12201122212229. The reversal of 12201122212199 is 99121222110221.

12201122212199 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12201122212199 - 216 = 12201122146663 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12201122212129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132992954 + ... + 133084664.

It is an arithmetic number, because the mean of its divisors is an integer number (782519112480).

Almost surely, 212201122212199 is an apocalyptic number.

12201122212199 is a deficient number, since it is larger than the sum of its proper divisors (319183587481).

12201122212199 is an equidigital number, since it uses as much as digits as its factorization.

12201122212199 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97322.

The product of its (nonzero) digits is 5184, while the sum is 35.

The spelling of 12201122212199 in words is "twelve trillion, two hundred one billion, one hundred twenty-two million, two hundred twelve thousand, one hundred ninety-nine".

Divisors: 1 41 661 4909 27101 91711 201269 3244849 3760151 60620971 133038809 450209299 2485459811 18458581259 297588346639 12201122212199