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12112202011122 = 23474766679081
BaseRepresentation
bin1011000001000001011101…
…1111111001000111110010
31120212220201011221211120000
42300100113133321013302
53041421242203323442
641432134020330430
72360035441246323
oct260202737710762
946786634854500
1012112202011122
11394a8352a8514
121437513b43a16
1369b239173645
142dc33b40444a
151600ed4d0d4c
hexb04177f91f2

12112202011122 has 20 divisors (see below), whose sum is σ = 27140304506766. Its totient is φ = 4037400670320.

The previous prime is 12112202011109. The next prime is 12112202011139. The reversal of 12112202011122 is 22111020221121.

12112202011122 is a `hidden beast` number, since 1 + 211 + 220 + 201 + 11 + 22 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7001839917801 + 5110362093321 = 2646099^2 + 2260611^2 .

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 = 12112202011095 and 12112202011104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 37383339379 + ... + 37383339702.

Almost surely, 212112202011122 is an apocalyptic number.

12112202011122 is an abundant number, since it is smaller than the sum of its proper divisors (15028102495644).

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

12112202011122 is an equidigital number, since it uses as much as digits as its factorization.

12112202011122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74766679095 (or 74766679086 counting only the distinct ones).

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

Adding to 12112202011122 its reverse (22111020221121), we get a palindrome (34223222232243).

The spelling of 12112202011122 in words is "twelve trillion, one hundred twelve billion, two hundred two million, eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 74766679081 149533358162 224300037243 448600074486 672900111729 1345800223458 2018700335187 4037400670374 6056101005561 12112202011122