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122002201212021 = 321315755711924137
BaseRepresentation
bin11011101111010111011001…
…110111010111010001110101
3120222222022000011121001010200
4123233113121313113101311
5111442341002002241041
61111251012033311113
734461240164530044
oct3357273167272165
9528868004531120
10122002201212021
113596792aaa2189
1211824a16405499
13530c9b1a28260
14221ad1bdd455b
15e188559de1b6
hex6ef5d9dd7475

122002201212021 has 48 divisors (see below), whose sum is σ = 191332905879024. Its totient is φ = 74466133926912.

The previous prime is 122002201212013. The next prime is 122002201212037. The reversal of 122002201212021 is 120212102200221.

It is a happy number.

122002201212021 is a `hidden beast` number, since 1 + 220 + 0 + 220 + 1 + 21 + 202 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6037409208996 + 115964792003025 = 2457114^2 + 10768695^2 .

It is not a de Polignac number, because 122002201212021 - 23 = 122002201212013 is a prime.

It is a super-2 number, since 2×1220022012120212 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 122002201211985 and 122002201212003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122002201212061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4269465 + ... + 16193601.

It is an arithmetic number, because the mean of its divisors is an integer number (3986102205813).

Almost surely, 2122002201212021 is an apocalyptic number.

It is an amenable number.

122002201212021 is a deficient number, since it is larger than the sum of its proper divisors (69330704667003).

122002201212021 is a wasteful number, since it uses less digits than its factorization.

122002201212021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11924870 (or 11924867 counting only the distinct ones).

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

Adding to 122002201212021 its reverse (120212102200221), we get a palindrome (242214303412242).

The spelling of 122002201212021 in words is "one hundred twenty-two trillion, two billion, two hundred one million, two hundred twelve thousand, twenty-one".

Divisors: 1 3 9 13 39 117 157 471 557 1413 1671 2041 5013 6123 7241 18369 21723 65169 87449 262347 787041 1136837 3410511 10231533 11924137 35772411 107317233 155013781 465041343 1395124029 1872089509 5616268527 6641744309 16848805581 19925232927 24337163617 59775698781 73011490851 86342676017 219034472553 259028028051 777084084153 1042753856513 3128261569539 9384784708617 13555800134669 40667400404007 122002201212021