Search a number
-
+
122221212210201 = 31323111356069769
BaseRepresentation
bin11011110010100011010111…
…111100000001010000011001
3121000202020022102102111102210
4123302203113330001100121
5112004433020311211301
61111535352203145333
734513122401354526
oct3362432774012031
9530666272374383
10122221212210201
1135a417a7aa0725
121185b358815249
135327545865b80
142227776cb414d
15e1e3c2e71ad6
hex6f28d7f01419

122221212210201 has 16 divisors (see below), whose sum is σ = 175573065261440. Its totient is φ = 75180507937920.

The previous prime is 122221212210193. The next prime is 122221212210211. The reversal of 122221212210201 is 102012212122221.

It is not a de Polignac number, because 122221212210201 - 23 = 122221212210193 is a prime.

It is a super-2 number, since 2×1222212122102012 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122221212210211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 677944756 + ... + 678125013.

It is an arithmetic number, because the mean of its divisors is an integer number (10973316578840).

Almost surely, 2122221212210201 is an apocalyptic number.

It is an amenable number.

122221212210201 is a deficient number, since it is larger than the sum of its proper divisors (53351853051239).

122221212210201 is a wasteful number, since it uses less digits than its factorization.

122221212210201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356072096.

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 122221212210201 its reverse (102012212122221), we get a palindrome (224233424332422).

The spelling of 122221212210201 in words is "one hundred twenty-two trillion, two hundred twenty-one billion, two hundred twelve million, two hundred ten thousand, two hundred one".

Divisors: 1 3 13 39 2311 6933 30043 90129 1356069769 4068209307 17628906997 52886720991 3133877236159 9401631708477 40740404070067 122221212210201