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201110121112120 = 235111094193288597
BaseRepresentation
bin101101101110100010011001…
…010101000110001000111000
3222101001221101010100121000121
4231232202121111012020320
5202324442012001041440
61551420414133343024
760234504165136543
oct5556423125061070
9871057333317017
10201110121112120
115909736148a710
121a6805a4797a74
13882a7abb7a79c
143793ad337985a
15183b50837334a
hexb6e899546238

201110121112120 has 64 divisors (see below), whose sum is σ = 498162685442400. Its totient is φ = 72460026938880.

The previous prime is 201110121112073. The next prime is 201110121112141. The reversal of 201110121112120 is 21211121011102.

It is a super-3 number, since 3×2011101211121203 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 201110121112094 and 201110121112103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2096596339 + ... + 2096692258.

Almost surely, 2201110121112120 is an apocalyptic number.

201110121112120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201110121112120 is an abundant number, since it is smaller than the sum of its proper divisors (297052564330280).

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

201110121112120 is a wasteful number, since it uses less digits than its factorization.

201110121112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4193288728 (or 4193288724 counting only the distinct ones).

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

Adding to 201110121112120 its reverse (21211121011102), we get a palindrome (222321242123222).

The spelling of 201110121112120 in words is "two hundred one trillion, one hundred ten billion, one hundred twenty-one million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 109 110 218 220 436 440 545 872 1090 1199 2180 2398 4360 4796 5995 9592 11990 23980 47960 4193288597 8386577194 16773154388 20966442985 33546308776 41932885970 46126174567 83865771940 92252349134 167731543880 184504698268 230630872835 369009396536 457068457073 461261745670 914136914146 922523491340 1828273828292 1845046982680 2285342285365 3656547656584 4570684570730 5027753027803 9141369141460 10055506055606 18282738282920 20111012111212 25138765139015 40222024222424 50277530278030 100555060556060 201110121112120