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122112212221220 = 225136765211074971
BaseRepresentation
bin11011110000111101110111…
…000010000011110100100100
3121000100210222000201100021212
4123300331313002003310210
5112001141302312034340
61111413324215130552
734502213311632224
oct3360756702036444
9530323860640255
10122112212221220
11359aa553381701
12118421b8973a58
13531a1945ab180
142222396842084
15e1b643a5da65
hex6f0f77083d24

122112212221220 has 96 divisors (see below), whose sum is σ = 280326519881856. Its totient is φ = 44407784678400.

The previous prime is 122112212221201. The next prime is 122112212221243. The reversal of 122112212221220 is 22122212211221.

It is a super-2 number, since 2×1221122122212202 (a number of 29 digits) contains 22 as substring.

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, 113058335 + ... + 114133305.

It is an arithmetic number, because the mean of its divisors is an integer number (2920067915436).

Almost surely, 2122112212221220 is an apocalyptic number.

122112212221220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122112212221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140163259940928).

122112212221220 is an abundant number, since it is smaller than the sum of its proper divisors (158214307660636).

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

122112212221220 is a wasteful number, since it uses less digits than its factorization.

122112212221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1081581 (or 1081579 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

Adding to 122112212221220 its reverse (22122212211221), we get a palindrome (144234424432441).

Subtracting from 122112212221220 its reverse (22122212211221), we obtain a palindrome (99990000009999).

The spelling of 122112212221220 in words is "one hundred twenty-two trillion, one hundred twelve billion, two hundred twelve million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 67 130 134 260 268 335 670 871 1340 1742 3484 4355 6521 8710 13042 17420 26084 32605 65210 84773 130420 169546 339092 423865 436907 847730 873814 1074971 1695460 1747628 2149942 2184535 4299884 4369070 5374855 5679791 8738140 10749710 11359582 13974623 21499420 22719164 27949246 28398955 55898492 56797910 69873115 72023057 113595820 139746230 144046114 279492460 288092228 360115285 720230570 936299741 1440461140 1872599482 3745198964 4681498705 7009885891 9362997410 14019771782 18725994820 28039543564 35049429455 70098858910 91128516583 140197717820 182257033166 364514066332 455642582915 469662354697 911285165830 939324709394 1822570331660 1878649418788 2348311773485 4696623546970 6105610611061 9393247093940 12211221222122 24422442444244 30528053055305 61056106110610 122112212221220