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12112000121001 = 31117192099541361
BaseRepresentation
bin1011000001000000101101…
…1101101111100010101001
31120212220012010001202101010
42300100023131233202221
53041420334012333001
641432102005214133
72360030440230354
oct260201335574251
946786163052333
1012112000121001
11394a741344480
121437478401349
1369b2063a6c31
142dc31c68d29b
151600da9018d6
hexb040b76f8a9

12112000121001 has 64 divisors (see below), whose sum is σ = 19644944256000. Its totient is φ = 6542054092800.

The previous prime is 12112000120973. The next prime is 12112000121083. The reversal of 12112000121001 is 10012100021121.

It is not a de Polignac number, because 12112000121001 - 27 = 12112000120873 is a prime.

It is a super-2 number, since 2×121120001210012 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12112000120001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22102561 + ... + 22643921.

It is an arithmetic number, because the mean of its divisors is an integer number (306952254000).

Almost surely, 212112000121001 is an apocalyptic number.

12112000121001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12112000121001 is a deficient number, since it is larger than the sum of its proper divisors (7532944134999).

12112000121001 is a wasteful number, since it uses less digits than its factorization.

12112000121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543510.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12112000121001 its reverse (10012100021121), we get a palindrome (22124100142122).

The spelling of 12112000121001 in words is "twelve trillion, one hundred twelve billion, one hundred twenty-one thousand, one".

Divisors: 1 3 11 17 19 33 51 57 187 209 323 561 627 969 2099 3553 6297 10659 23089 35683 39881 69267 107049 119643 392513 438691 541361 677977 1177539 1316073 1624083 2033931 5954971 7457747 9203137 10285859 17864913 22373241 27609411 30857577 101234507 113144449 174859603 303703521 339433347 524578809 1136316739 1923455633 3408950217 5770366899 12499484129 19317384563 21590018041 37498452387 57952153689 64770054123 212491230193 237490198451 367030306697 637473690579 712470595353 1101090920091 4037333373667 12112000121001