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12112210112121 = 337155941106971
BaseRepresentation
bin1011000001000001011111…
…1110110010111001111001
31120212220201202012102001000
42300100113332302321321
53041421301242041441
641432134510115213
72360035600146360
oct260202776627171
946786652172030
1012112210112121
11394a839930959
1214375167abb09
1369b23aa4ba32
142dc33c5127d7
151600ee0812b6
hexb0417fb2e79

12112210112121 has 32 divisors (see below), whose sum is σ = 20520600422400. Its totient is φ = 6916823200080.

The previous prime is 12112210112081. The next prime is 12112210112131. The reversal of 12112210112121 is 12121101221121.

It is a happy number.

12112210112121 is a `hidden beast` number, since 1 + 211 + 221 + 0 + 112 + 121 = 666.

It is not a de Polignac number, because 12112210112121 - 218 = 12112209849977 is a prime.

It is a super-2 number, since 2×121122101121212 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12112210112094 and 12112210112103.

It is not an unprimeable number, because it can be changed into a prime (12112210112131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20258835 + ... + 20848136.

It is an arithmetic number, because the mean of its divisors is an integer number (641268763200).

Almost surely, 212112210112121 is an apocalyptic number.

It is an amenable number.

12112210112121 is a deficient number, since it is larger than the sum of its proper divisors (8408390310279).

12112210112121 is a wasteful number, since it uses less digits than its factorization.

12112210112121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41108546 (or 41108540 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 12112210112121 its reverse (12121101221121), we get a palindrome (24233311333242).

The spelling of 12112210112121 in words is "twelve trillion, one hundred twelve billion, two hundred ten million, one hundred twelve thousand, one hundred twenty-one".

Divisors: 1 3 7 9 21 27 63 189 1559 4677 10913 14031 32739 42093 98217 294651 41106971 123320913 287748797 369962739 863246391 1109888217 2589739173 7769217519 64085767789 192257303367 448600374523 576771910101 1345801123569 1730315730303 4037403370707 12112210112121