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2122011222201 = 321323310114759
BaseRepresentation
bin11110111000010001101…
…110011010000010111001
321111212021121111010122200
4132320101232122002321
5234231334333102301
64302501040540413
7306211262532033
oct36702156320271
97455247433580
102122011222201
11748a38017a12
122a3315321709
13125149324a40
14749c4d72c53
153a2e9810c86
hex1ee11b9a0b9

2122011222201 has 96 divisors (see below), whose sum is σ = 3485339020800. Its totient is φ = 1236625948800.

The previous prime is 2122011222143. The next prime is 2122011222251. The reversal of 2122011222201 is 1022221102212.

It is a happy number.

2122011222201 is a `hidden beast` number, since 21 + 220 + 1 + 1 + 222 + 201 = 666.

It is not a de Polignac number, because 2122011222201 - 27 = 2122011222073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2122011222251) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 143770060 + ... + 143784818.

It is an arithmetic number, because the mean of its divisors is an integer number (36305614800).

Almost surely, 22122011222201 is an apocalyptic number.

It is an amenable number.

2122011222201 is a deficient number, since it is larger than the sum of its proper divisors (1363327798599).

2122011222201 is a wasteful number, since it uses less digits than its factorization.

2122011222201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14948 (or 14899 counting only the distinct ones).

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

Adding to 2122011222201 its reverse (1022221102212), we get a palindrome (3144232324413).

The spelling of 2122011222201 in words is "two trillion, one hundred twenty-two billion, eleven million, two hundred twenty-two thousand, two hundred one".

Divisors: 1 3 9 13 23 39 69 101 117 207 299 303 529 897 909 1313 1587 2323 2691 3939 4761 6877 6969 11817 12167 14759 20631 20907 30199 36501 44277 53429 61893 90597 109503 132831 158171 160287 191867 271791 339457 474513 480861 575601 694577 1018371 1228867 1423539 1490659 1726803 2083731 3055113 3686601 4412941 4471977 6251193 7807511 11059803 13238823 13415931 15975271 19378567 23422533 34285157 39716469 47925813 58135701 70267599 101497643 102855471 143777439 174407103 179572753 304492929 308566413 445707041 538718259 788558611 913478787 1337121123 1616154777 2334445789 2365675833 4011363369 7003337367 7097027499 10251261943 18136848053 21010012101 30753785829 54410544159 92261357487 163231632477 235779024689 707337074067 2122011222201