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12112322321121 = 3113773137991901
BaseRepresentation
bin1011000001000001111010…
…1010110101101011100001
31120212221000120100012211220
42300100132222311223201
53041422014003233441
641432153555125253
72360041432001331
oct260203652655341
946787016305756
1012112322321121
11394a897201170
1214375482a3829
1369b2580786a9
142dc34d3a10c1
15160108d48466
hexb041eab5ae1

12112322321121 has 64 divisors (see below), whose sum is σ = 18475849080576. Its totient is φ = 6993133056000.

The previous prime is 12112322321093. The next prime is 12112322321131.

12112322321121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12112322321121 - 25 = 12112322321089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12112322321091 and 12112322321100.

It is not an unprimeable number, because it can be changed into a prime (12112322321131) 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, 11715271 + ... + 12707171.

It is an arithmetic number, because the mean of its divisors is an integer number (288685141884).

Almost surely, 212112322321121 is an apocalyptic number.

12112322321121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12112322321121 is a deficient number, since it is larger than the sum of its proper divisors (6363526759455).

12112322321121 is a wasteful number, since it uses less digits than its factorization.

12112322321121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992162.

The product of its digits is 576, while the sum is 24.

It can be divided in two parts, 1211232 and 2321121, that added together give a palindrome (3532353).

The spelling of 12112322321121 in words is "twelve trillion, one hundred twelve billion, three hundred twenty-two million, three hundred twenty-one thousand, one hundred twenty-one".

Divisors: 1 3 11 33 37 73 111 137 219 407 411 803 1221 1507 2409 2701 4521 5069 8103 10001 15207 29711 30003 55759 89133 110011 167277 330033 370037 991901 1110111 2975703 4070407 10910911 12211221 32732733 36700337 72408773 110101011 135890437 217226319 403703707 407671311 796496503 1211111121 1494794807 2389489509 2679124601 4484384421 5027946169 8037373803 9920001901 15083838507 29470370611 29760005703 55307407859 88411111833 109120020911 165922223577 327360062733 367040070337 1101120211011 4037440773707 12112322321121