Search a number
-
+
122310410212120 = 23513596933940367
BaseRepresentation
bin11011110011110110011100…
…100011011001001100011000
3121001001202112210012111000111
4123303312130203121030120
5112012413210003241440
61112044343214014104
734522430662023334
oct3363663443311430
9531052483174014
10122310410212120
1135a7660aa36789
12118746b0aa7334
135332a8c485970
14222bbd94867c4
15e21893bce4ea
hex6f3d9c8d9318

122310410212120 has 64 divisors (see below), whose sum is σ = 296372572513920. Its totient is φ = 45159998836224.

The previous prime is 122310410212117. The next prime is 122310410212153. The reversal of 122310410212120 is 21212014013221.

It is a junction number, because it is equal to n+sod(n) for n = 122310410212091 and 122310410212100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29070177 + ... + 33010543.

It is an arithmetic number, because the mean of its divisors is an integer number (4630821445530).

Almost surely, 2122310410212120 is an apocalyptic number.

122310410212120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122310410212120 is an abundant number, since it is smaller than the sum of its proper divisors (174062162301800).

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

122310410212120 is a wasteful number, since it uses less digits than its factorization.

122310410212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4000084 (or 4000080 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 122310410212120 its reverse (21212014013221), we get a palindrome (143522424225341).

The spelling of 122310410212120 in words is "one hundred twenty-two trillion, three hundred ten billion, four hundred ten million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 59693 119386 238772 298465 477544 596930 776009 1193860 1552018 2387720 3104036 3880045 3940367 6208072 7760090 7880734 15520180 15761468 19701835 31040360 31522936 39403670 51224771 78807340 102449542 157614680 204899084 256123855 409798168 512247710 1024495420 2048990840 235212327331 470424654662 940849309324 1176061636655 1881698618648 2352123273310 3057760255303 4704246546620 6115520510606 9408493093240 12231041021212 15288801276515 24462082042424 30577602553030 61155205106060 122310410212120