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12112120220211 = 3311174527233669
BaseRepresentation
bin1011000001000001001010…
…0111111000101000110011
31120212220111111001102112000
42300100102213320220303
53041421110234021321
641432121535305043
72360033426114004
oct260202247705063
946786444042460
1012112120220211
11394a7a3113820
1214374b067b183
1369b22523705b
142dc3305d31ab
151600e6226826
hexb04129f8a33

12112120220211 has 32 divisors (see below), whose sum is σ = 19575339724800. Its totient is φ = 7340605446240.

The previous prime is 12112120220197. The next prime is 12112120220219. The reversal of 12112120220211 is 11202202121121.

12112120220211 is a `hidden beast` number, since 1 + 2 + 112 + 120 + 220 + 211 = 666.

It is not a de Polignac number, because 12112120220211 - 215 = 12112120187443 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12112120220219) 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, 51717685 + ... + 51951353.

It is an arithmetic number, because the mean of its divisors is an integer number (611729366400).

Almost surely, 212112120220211 is an apocalyptic number.

12112120220211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12112120220211 is a deficient number, since it is larger than the sum of its proper divisors (7463219504589).

12112120220211 is a wasteful number, since it uses less digits than its factorization.

12112120220211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408216 (or 408210 counting only the distinct ones).

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

Adding to 12112120220211 its reverse (11202202121121), we get a palindrome (23314322341332).

The spelling of 12112120220211 in words is "twelve trillion, one hundred twelve billion, one hundred twenty million, two hundred twenty thousand, two hundred eleven".

Divisors: 1 3 9 11 27 33 99 297 174527 233669 523581 701007 1570743 1919797 2103021 2570359 4712229 5759391 6309063 7711077 17278173 23133231 51834519 69399693 40781549563 122344648689 367033946067 448597045193 1101101838201 1345791135579 4037373406737 12112120220211