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122102020102212 = 22326155602012797
BaseRepresentation
bin11011110000110100010111…
…100010001101100001000100
3121000022211122201110001102200
4123300310113202031201010
5112001004414121232322
61111404521010434500
734501402612225443
oct3360642742154104
9530284581401380
10122102020102212
11359a61a3177857
1211840233592a30
13531922bb65917
142221aaad8cd5a
15e1b248da18ac
hex6f0d1788d844

122102020102212 has 36 divisors (see below), whose sum is σ = 313706556206316. Its totient is φ = 40033449213120.

The previous prime is 122102020102187. The next prime is 122102020102219. The reversal of 122102020102212 is 212201020201221.

It is a happy number.

122102020102212 is a `hidden beast` number, since 1 + 221 + 0 + 20 + 201 + 0 + 221 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 30624004938816 + 91478015163396 = 5533896^2 + 9564414^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (122102020102219) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27801004203 + ... + 27801008594.

It is an arithmetic number, because the mean of its divisors is an integer number (8714071005731).

Almost surely, 2122102020102212 is an apocalyptic number.

122102020102212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122102020102212 is an abundant number, since it is smaller than the sum of its proper divisors (191604536104104).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122102020102212 is a wasteful number, since it uses less digits than its factorization.

122102020102212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55602012868 (or 55602012863 counting only the distinct ones).

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

Adding to 122102020102212 its reverse (212201020201221), we get a palindrome (334303040303433).

Subtracting 122102020102212 from its reverse (212201020201221), we obtain a palindrome (90099000099009).

The spelling of 122102020102212 in words is "one hundred twenty-two trillion, one hundred two billion, twenty million, one hundred two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 549 732 1098 2196 55602012797 111204025594 166806038391 222408051188 333612076782 500418115173 667224153564 1000836230346 2001672460692 3391722780617 6783445561234 10175168341851 13566891122468 20350336683702 30525505025553 40700673367404 61051010051106 122102020102212