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12112213320 = 2332578742751
BaseRepresentation
bin10110100011111000…
…11011010101001000
31011021010021012002100
423101330123111020
5144301211311240
65321514433400
7606103054164
oct132174332510
934233235070
1012112213320
115156035159
122420432860
1311b049343c
1482c8abca4
154ad538e30
hex2d1f1b548

12112213320 has 96 divisors (see below), whose sum is σ = 39415633920. Its totient is φ = 3225744000.

The previous prime is 12112213249. The next prime is 12112213327. The reversal of 12112213320 is 2331221121.

12112213320 is a `hidden beast` number, since 121 + 1 + 221 + 3 + 320 = 666.

12112213320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12112213293 and 12112213302.

It is not an unprimeable number, because it can be changed into a prime (12112213327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 261945 + ... + 304695.

It is an arithmetic number, because the mean of its divisors is an integer number (410579520).

Almost surely, 212112213320 is an apocalyptic number.

12112213320 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 12112213320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19707816960).

12112213320 is an abundant number, since it is smaller than the sum of its proper divisors (27303420600).

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

12112213320 is a wasteful number, since it uses less digits than its factorization.

12112213320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43555 (or 43548 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12112213320 its reverse (2331221121), we get a palindrome (14443434441).

The spelling of 12112213320 in words is "twelve billion, one hundred twelve million, two hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 787 1574 2361 3148 3935 4722 6296 7083 7870 9444 11805 14166 15740 18888 23610 28332 31480 35415 42751 47220 56664 70830 85502 94440 128253 141660 171004 213755 256506 283320 342008 384759 427510 513012 641265 769518 855020 1026024 1282530 1539036 1710040 1923795 2565060 3078072 3847590 5130120 7695180 15390360 33645037 67290074 100935111 134580148 168225185 201870222 269160296 302805333 336450370 403740444 504675555 605610666 672900740 807480888 1009351110 1211221332 1345801480 1514026665 2018702220 2422442664 3028053330 4037404440 6056106660 12112213320