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122012012122 = 2711134310913003
BaseRepresentation
bin111000110100001111…
…0111000111001011010
3102122221020010102020221
41301220132320321122
53444340033341442
6132015044510254
711546366663650
oct1615036707132
9378836112227
10122012012122
1147821666660
121b7916ab38a
13b675ca90a0
145c9664add0
15329193c467
hex1c687b8e5a

122012012122 has 128 divisors (see below), whose sum is σ = 253771499520. Its totient is φ = 42463491840.

The previous prime is 122012012099. The next prime is 122012012159. The reversal of 122012012122 is 221210210221.

It is a happy number.

It is a super-2 number, since 2×1220120121222 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122012012096 and 122012012105.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9376873 + ... + 9389875.

It is an arithmetic number, because the mean of its divisors is an integer number (1982589840).

Almost surely, 2122012012122 is an apocalyptic number.

122012012122 is an abundant number, since it is smaller than the sum of its proper divisors (131759487398).

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

122012012122 is a wasteful number, since it uses less digits than its factorization.

122012012122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13188.

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

Adding to 122012012122 its reverse (221210210221), we get a palindrome (343222222343).

The spelling of 122012012122 in words is "one hundred twenty-two billion, twelve million, twelve thousand, one hundred twenty-two".

Divisors: 1 2 7 11 13 14 22 26 43 77 86 91 109 143 154 182 218 286 301 473 559 602 763 946 1001 1118 1199 1417 1526 2002 2398 2834 3311 3913 4687 6149 6622 7826 8393 9374 9919 12298 13003 15587 16786 19838 26006 31174 32809 43043 51557 60931 65618 86086 91021 103114 109109 121862 143033 169039 182042 218218 286066 338078 360899 426517 559129 670241 721798 853034 1001231 1118258 1183273 1340482 1417327 1859429 2002462 2366546 2834654 3718858 3913903 4691687 6150419 7268677 7827806 9383374 9921289 12300838 13016003 14537354 15590597 18425251 19842578 26032006 31181194 36850502 43052933 50880739 60945061 79955447 86105866 101761478 109134179 121890122 128976757 159910894 202677761 218268358 257953514 405355522 426615427 559688129 670395671 792285793 853230854 1119376258 1340791342 1418744327 1584571586 2837488654 4692769697 5546000551 8715143723 9385539394 11092001102 17430287446 61006006061 122012012122