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122101222222122 = 231113971895977383
BaseRepresentation
bin11011110000110011100111…
…111110100010100100101010
3121000022202121010002112201020
4123300303213332202210222
5112001001300342101442
61111404305505233310
734501344053321433
oct3360634776424452
9530282533075636
10122101222222122
11359a5923854720
1211840050332836
135319132775920
142221a3301648a
15e1b1edce79ec
hex6f0ce7fa292a

122101222222122 has 128 divisors (see below), whose sum is σ = 289871896043520. Its totient is φ = 33799863306240.

The previous prime is 122101222222117. The next prime is 122101222222157. The reversal of 122101222222122 is 221222222101221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 122101222222092 and 122101222222101.

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, 1577843043 + ... + 1577920425.

It is an arithmetic number, because the mean of its divisors is an integer number (2264624187840).

Almost surely, 2122101222222122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122101222222122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144935948021760).

122101222222122 is an abundant number, since it is smaller than the sum of its proper divisors (167770673821398).

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

122101222222122 is a wasteful number, since it uses less digits than its factorization.

122101222222122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96468.

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 122101222222122 its reverse (221222222101221), we get a palindrome (343323444323343).

The spelling of 122101222222122 in words is "one hundred twenty-two trillion, one hundred one billion, two hundred twenty-two million, two hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 97 143 194 286 291 429 582 858 1067 1261 2134 2522 3201 3783 6402 7566 13871 18959 27742 37918 41613 56877 77383 83226 113754 154766 208549 232149 246467 417098 464298 492934 625647 739401 851213 1005979 1251294 1478802 1702426 1839023 2011958 2553639 2711137 3017937 3678046 5107278 5422274 5517069 6035874 7506151 8133411 11034138 11065769 15012302 16266822 20229253 22131538 22518453 23907299 33197307 40458506 45036906 47814598 60687759 66394614 71721897 82567661 97579963 121375518 143443794 165135322 195159926 247702983 262980289 292739889 495405966 525960578 585479778 788940867 1073379593 1467104297 1577881734 2146759186 2934208594 3220138779 4401312891 6440277558 8802625782 16138147267 19072355861 32276294534 38144711722 48414441801 57217067583 96828883602 114434135166 142309116809 209795914471 284618233618 419591828942 426927350427 629387743413 853854700854 1258775486826 1565400284899 1850018518517 3130800569798 3700037037034 4696200854697 5550055555551 9392401709394 11100111111102 20350203703687 40700407407374 61050611111061 122101222222122