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110121210022120 = 235111012897855359
BaseRepresentation
bin11001000010011110010111…
…100110110000100011101000
3112102220111002110120212220121
4121002132113212300203220
5103413211214231201440
61030112552511133024
732123665145641333
oct3102362746604350
9472814073525817
10110121210022120
11320a71632268a0
121042628a514174
13495a50207b93b
141d29c75c6561a
15cae78aa3334a
hex6427979b08e8

110121210022120 has 128 divisors (see below), whose sum is σ = 273068274124800. Its totient is φ = 39633868288000.

The previous prime is 110121210022093. The next prime is 110121210022127. The reversal of 110121210022120 is 21220012121011.

It is a junction number, because it is equal to n+sod(n) for n = 110121210022094 and 110121210022103.

It is not an unprimeable number, because it can be changed into a prime (110121210022127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128315001 + ... + 129170359.

It is an arithmetic number, because the mean of its divisors is an integer number (2133345891600).

Almost surely, 2110121210022120 is an apocalyptic number.

110121210022120 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 110121210022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136534137062400).

110121210022120 is an abundant number, since it is smaller than the sum of its proper divisors (162947064102680).

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

110121210022120 is a wasteful number, since it uses less digits than its factorization.

110121210022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858379 (or 858375 counting only the distinct ones).

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

Adding to 110121210022120 its reverse (21220012121011), we get a palindrome (131341222143131).

The spelling of 110121210022120 in words is "one hundred ten trillion, one hundred twenty-one billion, two hundred ten million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 101 110 202 220 404 440 505 808 1010 1111 2020 2222 2897 4040 4444 5555 5794 8888 11110 11588 14485 22220 23176 28970 31867 44440 57940 63734 115880 127468 159335 254936 292597 318670 585194 637340 855359 1170388 1274680 1462985 1710718 2340776 2925970 3218567 3421436 4276795 5851940 6437134 6842872 8553590 9408949 11703880 12874268 16092835 17107180 18817898 25748536 32185670 34214360 37635796 47044745 64371340 75271592 86391259 94089490 128742680 172782518 188178980 345565036 376357960 431956295 691130072 863912590 950303849 1727825180 1900607698 2477975023 3455650360 3801215396 4751519245 4955950046 7602430792 9503038490 9911900092 12389875115 19006076980 19823800184 24779750230 27257725253 38012153960 49559500460 54515450506 99119000920 109030901012 136288626265 218061802024 250275477323 272577252530 500550954646 545154505060 1001101909292 1090309010120 1251377386615 2002203818584 2502754773230 2753030250553 5005509546460 5506060501106 10011019092920 11012121002212 13765151252765 22024242004424 27530302505530 55060605011060 110121210022120