Search a number
-
+
122113122001230 = 2356739127662671
BaseRepresentation
bin11011110000111110101101…
…010000100110000101001110
3121000100220022102121221211210
4123300332231100212011032
5112001200133213014410
61111413554354555250
734502244666633123
oct3360765520460516
9530326272557753
10122113122001230
11359aa97a983908
1211842411598b26
13531a2aac1a239
1422224415c674a
15e1b69886d220
hex6f0fad42614e

122113122001230 has 64 divisors (see below), whose sum is σ = 293539564136448. Its totient is φ = 32511502033920.

The previous prime is 122113122001201. The next prime is 122113122001327. The reversal of 122113122001230 is 32100221311221.

122113122001230 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1221131220012302 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122113122001197 and 122113122001206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 183942795 + ... + 184605465.

It is an arithmetic number, because the mean of its divisors is an integer number (4586555689632).

Almost surely, 2122113122001230 is an apocalyptic number.

122113122001230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122113122001230 is an abundant number, since it is smaller than the sum of its proper divisors (171426442135218).

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

122113122001230 is a wasteful number, since it uses less digits than its factorization.

122113122001230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672481.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 122113122001230 its reverse (32100221311221), we get a palindrome (154213343312451).

The spelling of 122113122001230 in words is "one hundred twenty-two trillion, one hundred thirteen billion, one hundred twenty-two million, one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 673 1346 2019 3365 4038 6730 9127 10095 18254 20190 27381 45635 54762 91270 136905 273810 662671 1325342 1988013 3313355 3976026 6142471 6626710 9940065 12284942 18427413 19880130 30712355 36854826 61424710 92137065 184274130 445977583 891955166 1337932749 2229887915 2675865498 4459775830 6048198217 6689663745 12096396434 13379327490 18144594651 30240991085 36289189302 60481982170 90722973255 181445946510 4070437400041 8140874800082 12211312200123 20352187000205 24422624400246 40704374000410 61056561000615 122113122001230