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122906230326 = 232112274396229
BaseRepresentation
bin111001001110111001…
…0000011111000110110
3102202020112202102000200
41302131302003320312
54003202443332301
6132243511021330
711610505502055
oct1623562037066
9382215672020
10122906230326
11481403a9a70
121b9a106a846
13b789329b99
145d3d30039c
1532e51c5c86
hex1c9dc83e36

122906230326 has 96 divisors (see below), whose sum is σ = 292497004800. Its totient is φ = 36989835840.

The previous prime is 122906230309. The next prime is 122906230327. The reversal of 122906230326 is 623032609221.

It is a happy number.

122906230326 is a `hidden beast` number, since 1 + 2 + 2 + 9 + 0 + 623 + 0 + 3 + 26 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122906230327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19728180 + ... + 19734408.

It is an arithmetic number, because the mean of its divisors is an integer number (3046843800).

Almost surely, 2122906230326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122906230326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146248502400).

122906230326 is an abundant number, since it is smaller than the sum of its proper divisors (169590774474).

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

122906230326 is a wasteful number, since it uses less digits than its factorization.

122906230326 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6914 (or 6911 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

Adding to 122906230326 its reverse (623032609221), we get a palindrome (745938839547).

The spelling of 122906230326 in words is "one hundred twenty-two billion, nine hundred six million, two hundred thirty thousand, three hundred twenty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 227 439 454 681 878 1317 1362 2043 2497 2634 3951 4086 4829 4994 6229 7491 7902 9658 12458 14487 14982 18687 22473 28974 37374 43461 44946 56061 68519 86922 99653 112122 137038 199306 205557 298959 411114 597918 616671 896877 1096183 1233342 1413983 1793754 2192366 2734531 2827966 3288549 4241949 5469062 6577098 8203593 8483898 9865647 12725847 15553813 16407186 19731294 24610779 25451694 30079841 31107626 46661439 49221558 60159682 90239523 93322878 139984317 180479046 270718569 279968634 541437138 620738537 1241477074 1862215611 3724431222 5586646833 6828123907 11173293666 13656247814 20484371721 40968743442 61453115163 122906230326