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12112100121 = 3112436731153
BaseRepresentation
bin10110100011110111…
…11111101100011001
31011021010001102210210
423101323333230121
5144301144200441
65321512201333
7606102103152
oct132173775431
934233042723
1012112100121
115155a68100
122420399249
1311b0453a64
1482c87c929
154ad515616
hex2d1effb19

12112100121 has 48 divisors (see below), whose sum is σ = 18206648768. Its totient is φ = 7153090560.

The previous prime is 12112100093. The next prime is 12112100141. The reversal of 12112100121 is 12100121121.

It is not a de Polignac number, because 12112100121 - 26 = 12112100057 is a prime.

It is a super-2 number, since 2×121121001212 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12112100097 and 12112100106.

It is not an unprimeable number, because it can be changed into a prime (12112100141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10504281 + ... + 10505433.

Almost surely, 212112100121 is an apocalyptic number.

12112100121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12112100121 is a deficient number, since it is larger than the sum of its proper divisors (6094548647).

12112100121 is a wasteful number, since it uses less digits than its factorization.

12112100121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1894 (or 1883 counting only the distinct ones).

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

Adding to 12112100121 its reverse (12100121121), we get a palindrome (24212221242).

It can be divided in two parts, 121 and 12100121, that multiplied together give a palindrome (1464114641).

The spelling of 12112100121 in words is "twelve billion, one hundred twelve million, one hundred thousand, one hundred twenty-one".

Divisors: 1 3 11 33 43 121 129 363 473 673 1153 1419 2019 3459 5203 7403 12683 15609 22209 28939 38049 49579 81433 86817 139513 148737 244299 318329 418539 545369 775969 954987 1636107 2327907 3501619 5999059 8535659 10504857 17997177 25606977 33366667 93892249 100100001 281676747 367033337 1101100011 4037366707 12112100121