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212120101111121 = 72127268331270319
BaseRepresentation
bin110000001110110000001111…
…010001101100010101010001
31000211001111001120010202020122
4300032300033101230111101
5210300333431341023441
62031050343523120025
762452112564043200
oct6016601721542521
91024044046122218
10212120101111121
11616516a2132585
121b95a368813015
139148abbaa8298
143a5494c149237
15197cae5c8934b
hexc0ec0f46c551

212120101111121 has 24 divisors (see below), whose sum is σ = 248704347156480. Its totient is φ = 180378733272192.

The previous prime is 212120101111103. The next prime is 212120101111337. The reversal of 212120101111121 is 121111101021212.

It is not a de Polignac number, because 212120101111121 - 226 = 212120034002257 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 212120101111121.

It is not an unprimeable number, because it can be changed into a prime (212120101111921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166346600 + ... + 167616918.

It is an arithmetic number, because the mean of its divisors is an integer number (10362681131520).

Almost surely, 2212120101111121 is an apocalyptic number.

It is an amenable number.

212120101111121 is a deficient number, since it is larger than the sum of its proper divisors (36584246045359).

212120101111121 is a wasteful number, since it uses less digits than its factorization.

212120101111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1297293 (or 1297286 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 212120101111121 its reverse (121111101021212), we get a palindrome (333231202132333).

The spelling of 212120101111121 in words is "two hundred twelve trillion, one hundred twenty billion, one hundred one million, one hundred eleven thousand, one hundred twenty-one".

Divisors: 1 7 49 127 889 6223 26833 187831 1270319 1314817 3407791 8892233 23854537 62245631 161330513 166981759 1129313591 7905195137 34086469727 238605288089 1670237016623 4328981655329 30302871587303 212120101111121