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111221101212 = 223136781113121
BaseRepresentation
bin110011110010101001…
…0110101001010011100
3101122002012010100022220
41213211102311022130
53310240100214322
6123032210105340
711015106522204
oct1474522651234
9348065110286
10111221101212
1143194459571
121967b87b250
13a64649bac0
145551447404
152d5e40055c
hex19e54b529c

111221101212 has 96 divisors (see below), whose sum is σ = 284021385984. Its totient is φ = 33666969600.

The previous prime is 111221101181. The next prime is 111221101213. The reversal of 111221101212 is 212101122111.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 111221101191 and 111221101200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111221101213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8470012 + ... + 8483132.

It is an arithmetic number, because the mean of its divisors is an integer number (2958556104).

Almost surely, 2111221101212 is an apocalyptic number.

111221101212 is a gapful number since it is divisible by the number (12) 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 111221101212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142010692992).

111221101212 is an abundant number, since it is smaller than the sum of its proper divisors (172800284772).

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

111221101212 is a wasteful number, since it uses less digits than its factorization.

111221101212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14019 (or 14017 counting only the distinct ones).

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

Adding to 111221101212 its reverse (212101122111), we get a palindrome (323322223323).

The spelling of 111221101212 in words is "one hundred eleven billion, two hundred twenty-one million, one hundred one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 67 78 134 156 201 268 402 804 811 871 1622 1742 2433 2613 3244 3484 4866 5226 9732 10452 10543 13121 21086 26242 31629 39363 42172 52484 54337 63258 78726 108674 126516 157452 163011 170573 217348 326022 341146 511719 652044 682292 706381 879107 1023438 1412762 1758214 2046876 2119143 2637321 2825524 3516428 4238286 5274642 8476572 10549284 10641131 11428391 21282262 22856782 31923393 34285173 42564524 45713564 63846786 68570346 127693572 137140692 138334703 276669406 415004109 553338812 712955777 830008218 1425911554 1660016436 2138867331 2851823108 4277734662 8555469324 9268425101 18536850202 27805275303 37073700404 55610550606 111221101212