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221101101120012 = 2231923371139531929
BaseRepresentation
bin110010010001011100011100…
…100101110111101000001100
31001222212001120220010000122120
4302101130130211313220030
5212440010023341320022
62102124235454012540
764400012254413411
oct6221343445675014
91058761526100576
10221101101120012
11644a44a5541113
122096aa5b4a7150
13964a98a501589
143c854c969a108
151a865313cdd5c
hexc9171c977a0c

221101101120012 has 96 divisors (see below), whose sum is σ = 581981747289600. Its totient is φ = 64980668662272.

The previous prime is 221101101119959. The next prime is 221101101120013. The reversal of 221101101120012 is 210021101101122.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 221101101119973 and 221101101120000.

It is not an unprimeable number, because it can be changed into a prime (221101101120013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 569571937 + ... + 569959992.

It is an arithmetic number, because the mean of its divisors is an integer number (6062309867600).

Almost surely, 2221101101120012 is an apocalyptic number.

It is an amenable number.

221101101120012 is an abundant number, since it is smaller than the sum of its proper divisors (360880646169588).

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

221101101120012 is a wasteful number, since it uses less digits than its factorization.

221101101120012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139532015 (or 1139532013 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 221101101120012 its reverse (210021101101122), we get a palindrome (431122202221134).

The spelling of 221101101120012 in words is "two hundred twenty-one trillion, one hundred one billion, one hundred one million, one hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 12 19 23 37 38 46 57 69 74 76 92 111 114 138 148 222 228 276 437 444 703 851 874 1311 1406 1702 1748 2109 2553 2622 2812 3404 4218 5106 5244 8436 10212 16169 32338 48507 64676 97014 194028 1139531929 2279063858 3418595787 4558127716 6837191574 13674383148 21651106651 26209234367 42162681373 43302213302 52418468734 64953319953 78627703101 84325362746 86604426604 104836937468 126488044119 129906639906 157255406202 168650725492 252976088238 259813279812 314510812404 497975452973 505952176476 801090946087 969741671579 995950905946 1493926358919 1602181892174 1939483343158 1991901811892 2403272838261 2909225014737 2987852717838 3204363784348 3878966686316 4806545676522 5818450029474 5975705435676 9613091353044 11636900058948 18425091760001 36850183520002 55275275280003 73700367040004 110550550560006 221101101120012