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12112112222001 = 3311391071042819
BaseRepresentation
bin1011000001000001001000…
…1001010111111100110001
31120212220110221000002001000
42300100102021113330301
53041421101212101001
641432121052032213
72360033301122421
oct260202211277461
946786427002030
1012112112222001
11394a799650630
1214374a9a62669
1369b22369669c
142dc32d510481
151600e5696a86
hexb0412257f31

12112112222001 has 32 divisors (see below), whose sum is σ = 19575650188800. Its totient is φ = 7340479327440.

The previous prime is 12112112221991. The next prime is 12112112222039. The reversal of 12112112222001 is 10022221121121.

12112112222001 is a `hidden beast` number, since 1 + 211 + 211 + 22 + 220 + 0 + 1 = 666.

It is not a de Polignac number, because 12112112222001 - 217 = 12112112090929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12112112222101) 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, 11093370 + ... + 12136188.

It is an arithmetic number, because the mean of its divisors is an integer number (611739068400).

Almost surely, 212112112222001 is an apocalyptic number.

12112112222001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12112112222001 is a deficient number, since it is larger than the sum of its proper divisors (7463537966799).

12112112222001 is a wasteful number, since it uses less digits than its factorization.

12112112222001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081946 (or 1081940 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12112112222001 its reverse (10022221121121), we get a palindrome (22134333343122).

The spelling of 12112112222001 in words is "twelve trillion, one hundred twelve billion, one hundred twelve million, two hundred twenty-two thousand, one".

Divisors: 1 3 9 11 27 33 99 297 39107 117321 351963 430177 1042819 1055889 1290531 3128457 3871593 9385371 11471009 11614779 28156113 34413027 103239081 309717243 40781522633 122344567899 367033703697 448596748963 1101101111091 1345790246889 4037370740667 12112112222001