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120120122122 = 271121322923819
BaseRepresentation
bin110111111011110110…
…1111001101100001010
3102111001101012110001221
41233313231321230022
53432001222401442
6131103223032254
711451455122450
oct1576755715412
9374041173057
10120120122122
1146a4074a700
121b343b9b68a
13b434054a50
145b572949d0
1531d07d2467
hex1bf7b79b0a

120120122122 has 96 divisors (see below), whose sum is σ = 244827676800. Its totient is φ = 43009591680.

The previous prime is 120120122117. The next prime is 120120122123. The reversal of 120120122122 is 221221021021.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 120120122096 and 120120122105.

It is not an unprimeable number, because it can be changed into a prime (120120122123) 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, 5031129 + ... + 5054947.

It is an arithmetic number, because the mean of its divisors is an integer number (2550288300).

Almost surely, 2120120122122 is an apocalyptic number.

120120122122 is an abundant number, since it is smaller than the sum of its proper divisors (124707554678).

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

120120122122 is a wasteful number, since it uses less digits than its factorization.

120120122122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24092 (or 24081 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 120120122122 its reverse (221221021021), we get a palindrome (341341143143).

It can be divided in two parts, 120120 and 122122, that added together give a palindrome (242242).

The spelling of 120120122122 in words is "one hundred twenty billion, one hundred twenty million, one hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 7 11 13 14 22 26 77 91 121 143 154 182 229 242 286 458 847 1001 1573 1603 1694 2002 2519 2977 3146 3206 5038 5954 11011 17633 20839 22022 23819 27709 32747 35266 41678 47638 55418 65494 166733 193963 229229 262009 309647 333466 360217 387926 458458 524018 619294 720434 1834063 2167529 2521519 2882099 3406117 3668126 4335058 5043038 5454551 5764198 6812234 10909102 20174693 23842819 37467287 38181857 40349386 47685638 60000061 70909163 74934574 76363714 120000122 141818326 262271009 420000427 496364141 524542018 660000671 780000793 840000854 992728282 1320001342 1560001586 4620004697 5460005551 8580008723 9240009394 10920011102 17160017446 60060061061 120120122122