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122102102122 = 27112138236737
BaseRepresentation
bin111000110110111011…
…0100011100001101010
3102200011111122110111121
41301231312203201222
54000031114231442
6132032023445454
711551542513010
oct1615566434152
9380144573447
10122102102122
11478684a9600
121b7b78b688a
13b68b85cc90
145ca45bc8b0
1532997d5967
hex1c6dda386a

122102102122 has 96 divisors (see below), whose sum is σ = 248112781056. Its totient is φ = 43852976640.

The previous prime is 122102102063. The next prime is 122102102137. The reversal of 122102102122 is 221201201221.

It is a happy number.

It is a super-2 number, since 2×1221021021222 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122102102096 and 122102102105.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18120738 + ... + 18127474.

It is an arithmetic number, because the mean of its divisors is an integer number (2584508136).

Almost surely, 2122102102122 is an apocalyptic number.

122102102122 is an abundant number, since it is smaller than the sum of its proper divisors (126010678934).

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

122102102122 is a wasteful number, since it uses less digits than its factorization.

122102102122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7604 (or 7593 counting only the distinct ones).

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

Adding to 122102102122 its reverse (221201201221), we get a palindrome (343303303343).

Subtracting 122102102122 from its reverse (221201201221), we obtain a palindrome (99099099099).

The spelling of 122102102122 in words is "one hundred twenty-two billion, one hundred two million, one hundred two thousand, one hundred twenty-two".

Divisors: 1 2 7 11 13 14 22 26 77 91 121 143 154 182 242 286 823 847 1001 1573 1646 1694 2002 3146 5761 6737 9053 10699 11011 11522 13474 18106 21398 22022 47159 63371 74107 74893 87581 94318 99583 117689 126742 148214 149786 175162 199166 235378 518749 613067 697081 815177 823823 963391 1037498 1226134 1294579 1394162 1630354 1647646 1926782 2589158 5544551 5706239 6743737 9062053 10597301 11089102 11412478 13487474 18124106 21194602 38811857 60990061 72079163 74181107 77623714 121980122 144158326 148362214 426930427 504554141 670890671 792870793 853860854 1009108282 1341781342 1585741586 4696234697 5550095551 8721578723 9392469394 11100191102 17443157446 61051051061 122102102122