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12113422204320 = 253258412098753
BaseRepresentation
bin1011000001000110000000…
…1110100011110110100000
31120220000212012222001221200
42300101200032203312200
53041431242041014240
641432455045321200
72360110615600023
oct260214016436640
946800765861850
1012113422204320
113950301046748
1214377b4706200
1369b3a1bb8158
142dc4154ad1ba
151601706a9930
hexb04603a3da0

12113422204320 has 72 divisors (see below), whose sum is σ = 41337053277156. Its totient is φ = 3230245920768.

The previous prime is 12113422204271. The next prime is 12113422204327. The reversal of 12113422204320 is 2340222431121.

12113422204320 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 3 + 4 + 2 + 220 + 432 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10398380521104 + 1715041683216 = 3224652^2 + 1309596^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×121134222043202 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12113422204327) 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 11 ways as a sum of consecutive naturals, for example, 4206047937 + ... + 4206050816.

Almost surely, 212113422204320 is an apocalyptic number.

12113422204320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12113422204320 is an abundant number, since it is smaller than the sum of its proper divisors (29223631072836).

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

12113422204320 is a wasteful number, since it uses less digits than its factorization.

12113422204320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8412098774 (or 8412098763 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 12113422204320 its reverse (2340222431121), we get a palindrome (14453644635441).

The spelling of 12113422204320 in words is "twelve trillion, one hundred thirteen billion, four hundred twenty-two million, two hundred four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 8412098753 16824197506 25236296259 33648395012 42060493765 50472592518 67296790024 75708888777 84120987530 100945185036 126181481295 134593580048 151417777554 168241975060 201890370072 252362962590 269187160096 302835555108 336483950120 378544443885 403780740144 504725925180 605671110216 672967900240 757088887770 807561480288 1009451850360 1211342220432 1345935800480 1514177775540 2018903700720 2422684440864 3028355551080 4037807401440 6056711102160 12113422204320