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122221101112 = 2311172910127893
BaseRepresentation
bin111000111010011110…
…0100000000000111000
3102200110210120020102121
41301310330200000320
54000302100213422
6132051514211024
711554516134565
oct1616474400070
9380423506377
10122221101112
1147919697280
121b82b723a74
13b6aa3c6396
145cb631786c
1532a4e8e8c7
hex1c74f20038

122221101112 has 128 divisors (see below), whose sum is σ = 276552273600. Its totient is φ = 49982464000.

The previous prime is 122221101109. The next prime is 122221101131. The reversal of 122221101112 is 211101122221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4367838 + ... + 4395730.

Almost surely, 2122221101112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122221101112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138276136800).

122221101112 is an abundant number, since it is smaller than the sum of its proper divisors (154331172488).

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

122221101112 is a wasteful number, since it uses less digits than its factorization.

122221101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28057 (or 28053 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 122221101112 its reverse (211101122221), we get a palindrome (333322223333).

The spelling of 122221101112 in words is "one hundred twenty-two billion, two hundred twenty-one million, one hundred one thousand, one hundred twelve".

Divisors: 1 2 4 8 11 17 22 29 34 44 58 68 88 101 116 136 187 202 232 319 374 404 493 638 748 808 986 1111 1276 1496 1717 1972 2222 2552 2929 3434 3944 4444 5423 5858 6868 8888 10846 11716 13736 18887 21692 23432 27893 32219 37774 43384 49793 55786 64438 75548 99586 111572 128876 151096 199172 223144 257752 306823 398344 474181 547723 613646 808897 948362 1095446 1227292 1617794 1896724 2190892 2454584 2817193 3235588 3793448 4381784 5215991 5634386 6471176 8897867 10431982 11268772 13751249 17795734 20863964 22537544 27502498 30989123 35591468 41727928 47892281 55004996 61978246 71182936 81698597 95784562 110009992 123956492 151263739 163397194 191569124 247912984 302527478 326794388 383138248 526815091 605054956 653588776 898684567 1053630182 1210109912 1388876149 1797369134 2107260364 2777752298 3594738268 4214520728 5555504596 7189476536 11111009192 15277637639 30555275278 61110550556 122221101112