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212011120112121 = 321131114887462547
BaseRepresentation
bin110000001101001010101111…
…100000001011000111111001
31000210200001202111011101110100
4300031022233200023013321
5210242042233222041441
62030524321454110013
762441204124612141
oct6015125740130771
91023601674141410
10212011120112121
116160a458203a60
121b9412131ab309
13913b74173c065
143a4d57041b921
151979d68377cb6
hexc0d2af80b1f9

212011120112121 has 48 divisors (see below), whose sum is σ = 335175572579328. Its totient is φ = 128069551461600.

The previous prime is 212011120112111. The next prime is 212011120112147. The reversal of 212011120112121 is 121211021110212.

It is a happy number.

212011120112121 is a `hidden beast` number, since 212 + 0 + 111 + 201 + 121 + 21 = 666.

It is a de Polignac number, because none of the positive numbers 2k-212011120112121 is a prime.

It is a super-2 number, since 2×2120111201121212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212011120112094 and 212011120112103.

It is not an unprimeable number, because it can be changed into a prime (212011120112111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 458124570 + ... + 458587116.

It is an arithmetic number, because the mean of its divisors is an integer number (6982824428736).

Almost surely, 2212011120112121 is an apocalyptic number.

It is an amenable number.

212011120112121 is a deficient number, since it is larger than the sum of its proper divisors (123164452467207).

212011120112121 is a wasteful number, since it uses less digits than its factorization.

212011120112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477762 (or 477759 counting only the distinct ones).

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

Adding to 212011120112121 its reverse (121211021110212), we get a palindrome (333222141222333).

The spelling of 212011120112121 in words is "two hundred twelve trillion, eleven billion, one hundred twenty million, one hundred twelve thousand, one hundred twenty-one".

Divisors: 1 3 9 11 33 99 311 933 2799 3421 10263 14887 30789 44661 133983 163757 462547 491271 1387641 1473813 4162923 4629857 5088017 13889571 15264051 41668713 45792153 50928427 143852117 152785281 431556351 458355843 1294669053 1582373287 4747119861 6885937189 14241359583 20657811567 61973434701 75745309079 227235927237 681707781711 2141526465779 6424579397337 19273738192011 23556791123569 70670373370707 212011120112121