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12112112200122 = 23211181337968419
BaseRepresentation
bin1011000001000001001000…
…1001010010100110111010
31120212220110220221222000200
42300100102021102212322
53041421101210400442
641432121051343030
72360033301001554
oct260202211224672
946786426858020
1012112112200122
11394a799636150
1214374a9a51a76
1369b22368973c
142dc32d5064d4
151600e569034c
hexb04122529ba

12112112200122 has 48 divisors (see below), whose sum is σ = 28786798141920. Its totient is φ = 3650058914400.

The previous prime is 12112112200117. The next prime is 12112112200141. The reversal of 12112112200122 is 22100221121121.

12112112200122 is a `hidden beast` number, since 1 + 211 + 211 + 220 + 0 + 1 + 22 = 666.

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 = 12112112200095 and 12112112200104.

It is an unprimeable number.

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, 168948372 + ... + 169020047.

It is an arithmetic number, because the mean of its divisors is an integer number (599724961290).

Almost surely, 212112112200122 is an apocalyptic number.

12112112200122 is an abundant number, since it is smaller than the sum of its proper divisors (16674685941798).

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

12112112200122 is a wasteful number, since it uses less digits than its factorization.

12112112200122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337968619 (or 337968616 counting only the distinct ones).

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

Adding to 12112112200122 its reverse (22100221121121), we get a palindrome (34212333321243).

The spelling of 12112112200122 in words is "twelve trillion, one hundred twelve billion, one hundred twelve million, two hundred thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 181 198 362 543 1086 1629 1991 3258 3982 5973 11946 17919 35838 337968419 675936838 1013905257 2027810514 3041715771 3717652609 6083431542 7435305218 11152957827 22305915654 33458873481 61172283839 66917746962 122344567678 183516851517 367033703034 550550554551 672895122229 1101101109102 1345790244458 2018685366687 4037370733374 6056056100061 12112112200122