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122000000122 = 271113196152579
BaseRepresentation
bin111000110011111000…
…1000100010001111010
3102122220101112010220001
41301213301010101322
53444324000000442
6132013535223214
711546162614360
oct1614761042172
9378811463801
10122000000122
1147815901890
121b789677b0a
13b6736617b0
145c94c01630
1532908682b7
hex1c67c4447a

122000000122 has 128 divisors (see below), whose sum is σ = 262883174400. Its totient is φ = 40884652800.

The previous prime is 122000000117. The next prime is 122000000123. The reversal of 122000000122 is 221000000221.

122000000122 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 122000000099 and 122000000108.

It is not an unprimeable number, because it can be changed into a prime (122000000123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2294029 + ... + 2346607.

It is an arithmetic number, because the mean of its divisors is an integer number (2053774800).

Almost surely, 2122000000122 is an apocalyptic number.

122000000122 is an abundant number, since it is smaller than the sum of its proper divisors (140883174278).

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

122000000122 is a wasteful number, since it uses less digits than its factorization.

122000000122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52692.

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 122000000122 its reverse (221000000221), we get a palindrome (343000000343).

Subtracting 122000000122 from its reverse (221000000221), we obtain a palindrome (99000000099).

It can be divided in two parts, 122000000 and 122, that multiplied together give a square (14884000000 = 1220002).

The spelling of 122000000122 in words is "one hundred twenty-two billion, one hundred twenty-two", and thus it is an aban number.

Divisors: 1 2 7 11 13 14 19 22 26 38 61 77 91 122 133 143 154 182 209 247 266 286 418 427 494 671 793 854 1001 1159 1342 1463 1586 1729 2002 2318 2717 2926 3458 4697 5434 5551 8113 8723 9394 11102 12749 15067 16226 17446 19019 25498 30134 38038 52579 61061 89243 105158 105469 122122 165737 178486 210938 331474 368053 578369 683527 736106 999001 1156738 1160159 1367054 1998002 2320318 3207319 4048583 4784689 6414638 6993007 7518797 8097166 9569378 10989011 12987013 13986014 15037594 21978022 22451233 25974026 35280509 41695147 44902466 52631579 60939061 70561018 76923077 83390294 90909091 105263158 121878122 142857143 153846154 181818182 246963563 285714286 291866029 426573427 458646617 493927126 583732058 670329671 792207793 853146854 917293234 1000000001 1340659342 1584415586 2000000002 3210526319 4692307697 5545454551 6421052638 8714285723 9384615394 11090909102 17428571446 61000000061 122000000122