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201223200122112 = 283761760664361
BaseRepresentation
bin101101110000001011101101…
…010111010010010100000000
3222101110202020210110111001210
4231300023231113102110000
5202333320103212401422
61551544354553130120
760245616324643530
oct5560135527222400
9871422223414053
10201223200122112
1159130309655583
121a69a4a26b9940
13883836023379c
14379937d4514c0
15183e42591a10c
hexb702ed5d2500

201223200122112 has 144 divisors (see below), whose sum is σ = 613045894108032. Its totient is φ = 57399161487360.

The previous prime is 201223200122107. The next prime is 201223200122117. The reversal of 201223200122112 is 211221002322102.

It is an interprime number because it is at equal distance from previous prime (201223200122107) and next prime (201223200122117).

It is a super-2 number, since 2×2012232001221122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201223200122117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27015189 + ... + 33649172.

It is an arithmetic number, because the mean of its divisors is an integer number (4257263153528).

Almost surely, 2201223200122112 is an apocalyptic number.

It is an amenable number.

201223200122112 is an abundant number, since it is smaller than the sum of its proper divisors (411822693985920).

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

201223200122112 is an equidigital number, since it uses as much as digits as its factorization.

201223200122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60665004 (or 60664990 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 201223200122112 its reverse (211221002322102), we get a palindrome (412444202444214).

The spelling of 201223200122112 in words is "two hundred one trillion, two hundred twenty-three billion, two hundred million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 617 672 768 896 1234 1344 1792 1851 2468 2688 3702 4319 4936 5376 7404 8638 9872 12957 14808 17276 19744 25914 29616 34552 39488 51828 59232 69104 78976 103656 118464 138208 157952 207312 236928 276416 414624 473856 552832 829248 1105664 1658496 3316992 60664361 121328722 181993083 242657444 363986166 424650527 485314888 727972332 849301054 970629776 1273951581 1455944664 1698602108 1941259552 2547903162 2911889328 3397204216 3882519104 5095806324 5823778656 6794408432 7765038208 10191612648 11647557312 13588816864 15530076416 20383225296 23295114624 27177633728 37429910737 40766450592 46590229248 54355267456 74859821474 81532901184 108710534912 112289732211 149719642948 163065802368 224579464422 262009375159 299439285896 326131604736 449158928844 524018750318 598878571792 786028125477 898317857688 1048037500636 1197757143584 1572056250954 1796635715376 2096075001272 2395514287168 3144112501908 3593271430752 4192150002544 4791028574336 6288225003816 7186542861504 8384300005088 9582057148672 12576450007632 14373085723008 16768600010176 25152900015264 28746171446016 33537200020352 50305800030528 67074400040704 100611600061056 201223200122112