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122220210200121 = 32114492749549171
BaseRepresentation
bin11011110010100010011100…
…001101101001111000111001
3121000202010201120222010000100
4123302202130031221320321
5112004423442302400441
61111535104530430013
734513055513412405
oct3362423415517071
9530663646863010
10122220210200121
1135a41333424720
121185b119132309
1353274160a3ab7
1422276bdba2105
15e1e364ee4cb6
hex6f289c369e39

122220210200121 has 24 divisors (see below), whose sum is σ = 193018351874400. Its totient is φ = 73907881689600.

The previous prime is 122220210200113. The next prime is 122220210200171. The reversal of 122220210200121 is 121002012022221.

It is a happy number.

122220210200121 is a `hidden beast` number, since 1 + 22 + 220 + 210 + 200 + 12 + 1 = 666.

It is not a de Polignac number, because 122220210200121 - 23 = 122220210200113 is a prime.

It is a super-2 number, since 2×1222202102001212 (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 = 122220210200094 and 122220210200103.

It is not an unprimeable number, because it can be changed into a prime (122220210200171) 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, 1374730135 + ... + 1374819036.

It is an arithmetic number, because the mean of its divisors is an integer number (8042431328100).

Almost surely, 2122220210200121 is an apocalyptic number.

122220210200121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122220210200121 is a deficient number, since it is larger than the sum of its proper divisors (70798141674279).

122220210200121 is a wasteful number, since it uses less digits than its factorization.

122220210200121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2749549637 (or 2749549634 counting only the distinct ones).

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

Adding to 122220210200121 its reverse (121002012022221), we get a palindrome (243222222222342).

The spelling of 122220210200121 in words is "one hundred twenty-two trillion, two hundred twenty billion, two hundred ten million, two hundred thousand, one hundred twenty-one".

Divisors: 1 3 9 11 33 99 449 1347 4041 4939 14817 44451 2749549171 8248647513 24745942539 30245040881 90735122643 272205367929 1234547577779 3703642733337 11110928200011 13580023355569 40740070066707 122220210200121