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2122120021221 = 33739463113777
BaseRepresentation
bin11110111000011000001…
…101011100010011100101
321111212120012012200212000
4132320120031130103211
5234232100211134341
64302515524515513
7306214053362244
oct36703015342345
97455505180760
102122120021221
11748a93479262
122a334584bb99
13125165a29565
14749d55b495b
153a3041528b6
hex1ee1835c4e5

2122120021221 has 32 divisors (see below), whose sum is σ = 3187313176320. Its totient is φ = 1395206871552.

The previous prime is 2122120021183. The next prime is 2122120021271. The reversal of 2122120021221 is 1221200212212.

It is a happy number.

2122120021221 is a `hidden beast` number, since 2 + 1 + 221 + 200 + 21 + 221 = 666.

It is not a de Polignac number, because 2122120021221 - 210 = 2122120020197 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2122120021194 and 2122120021203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122120021271) 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, 18594685 + ... + 18708461.

It is an arithmetic number, because the mean of its divisors is an integer number (99603536760).

Almost surely, 22122120021221 is an apocalyptic number.

It is an amenable number.

2122120021221 is a deficient number, since it is larger than the sum of its proper divisors (1065193155099).

2122120021221 is a wasteful number, since it uses less digits than its factorization.

2122120021221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123322 (or 123316 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2122120021221 its reverse (1221200212212), we get a palindrome (3343320233433).

It can be divided in two parts, 2 and 122120021221, that multiplied together give a palindrome (244240042442).

The spelling of 2122120021221 in words is "two trillion, one hundred twenty-two billion, one hundred twenty million, twenty-one thousand, two hundred twenty-one".

Divisors: 1 3 9 27 73 219 657 1971 9463 28389 85167 113777 255501 341331 690799 1023993 2072397 3071979 6217191 8305721 18651573 24917163 74751489 224254467 1076671751 3230015253 9690045759 29070137277 78597037823 235791113469 707373340407 2122120021221