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12122002123 = 71137101103409
BaseRepresentation
bin10110100101000011…
…10001001011001011
31011021210200111210121
423102201301023023
5144311213031443
65322504324111
7606252214030
oct132241611313
934253614717
1012122002123
115160610680
122423773637
1311b250cb2a
1482dcd9387
154ae31e4ed
hex2d28712cb

12122002123 has 64 divisors (see below), whose sum is σ = 15866173440. Its totient is φ = 8989056000.

The previous prime is 12122002097. The next prime is 12122002129. The reversal of 12122002123 is 32120022121.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 12122002123 - 25 = 12122002091 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12122002097 and 12122002106.

It is not an unprimeable number, because it can be changed into a prime (12122002129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29637943 + ... + 29638351.

It is an arithmetic number, because the mean of its divisors is an integer number (247908960).

Almost surely, 212122002123 is an apocalyptic number.

12122002123 is a deficient number, since it is larger than the sum of its proper divisors (3744171317).

12122002123 is a wasteful number, since it uses less digits than its factorization.

12122002123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 12122002123 its reverse (32120022121), we get a palindrome (44242024244).

The spelling of 12122002123 in words is "twelve billion, one hundred twenty-two million, two thousand, one hundred twenty-three".

Divisors: 1 7 11 37 77 101 103 259 407 409 707 721 1111 1133 2849 2863 3737 3811 4499 7777 7931 10403 15133 26159 26677 31493 41107 41309 41921 42127 72821 105931 114433 166463 287749 289163 293447 294889 384911 454399 463397 801031 1165241 1528433 1558699 2694377 3180793 3243779 4234021 4254827 10699031 10910893 16812763 17145689 29638147 29783789 46803097 117689341 120019823 157428599 327621679 1102000193 1731714589 12122002123