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123122113212121 = 731732235723909
BaseRepresentation
bin11011111111101010011001…
…110100100110111011011001
3121010221100200202121012221121
4123333222121310212323121
5112114213041440241441
61113505303514205241
734635164512466032
oct3377523164467331
9533840622535847
10123122113212121
1136259882137601
1211985a82723821
135391499ba96ba
1422591dbbd7a89
15e37a4e626dd1
hex6ffa99d26ed9

123122113212121 has 24 divisors (see below), whose sum is σ = 125592838283160. Its totient is φ = 120677298587136.

The previous prime is 123122113212061. The next prime is 123122113212169. The reversal of 123122113212121 is 121212311221321.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 12185607842521 + 110936505369600 = 3490789^2 + 10532640^2 .

It is not a de Polignac number, because 123122113212121 - 211 = 123122113210073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123122113212521) 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, 5149601715 + ... + 5149625623.

It is an arithmetic number, because the mean of its divisors is an integer number (5233034928465).

Almost surely, 2123122113212121 is an apocalyptic number.

It is an amenable number.

123122113212121 is a deficient number, since it is larger than the sum of its proper divisors (2470725071039).

123122113212121 is an equidigital number, since it uses as much as digits as its factorization.

123122113212121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26685 (or 26512 counting only the distinct ones).

The product of its digits is 576, while the sum is 25.

Adding to 123122113212121 its reverse (121212311221321), we get a palindrome (244334424433442).

The spelling of 123122113212121 in words is "one hundred twenty-three trillion, one hundred twenty-two billion, one hundred thirteen million, two hundred twelve thousand, one hundred twenty-one".

Divisors: 1 73 173 2357 12629 23909 29929 172061 407761 1745357 2184817 4136257 29766553 56353513 70542653 301946761 715572461 4113806449 5149613669 9749157749 52236789653 711688515677 1686604290577 123122113212121