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12123011012321 = 117957943240763
BaseRepresentation
bin1011000001101001101111…
…0000111101011011100001
31120220221121110222222200202
42300122123300331123201
53042110411304343241
641441122342554545
72360600341244336
oct260323360753341
946827543888622
1012123011012321
113954381741060
12143962ba38a55
1369c26c645a41
142dca84b9698d
151605323e2d9b
hexb069bc3d6e1

12123011012321 has 16 divisors (see below), whose sum is σ = 13392796047360. Its totient is φ = 10881180807120.

The previous prime is 12123011012317. The next prime is 12123011012341. The reversal of 12123011012321 is 12321011032121.

It is a cyclic number.

It is not a de Polignac number, because 12123011012321 - 22 = 12123011012317 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12123011012293 and 12123011012302.

It is not an unprimeable number, because it can be changed into a prime (12123011012341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50232086 + ... + 50472848.

It is an arithmetic number, because the mean of its divisors is an integer number (837049752960).

Almost surely, 212123011012321 is an apocalyptic number.

12123011012321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12123011012321 is a deficient number, since it is larger than the sum of its proper divisors (1269785035039).

12123011012321 is a wasteful number, since it uses less digits than its factorization.

12123011012321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298796.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 12123011012321 its reverse (12321011032121), we get a palindrome (24444022044442).

The spelling of 12123011012321 in words is "twelve trillion, one hundred twenty-three billion, eleven million, twelve thousand, three hundred twenty-one".

Divisors: 1 11 79 869 57943 240763 637373 2648393 4577497 19020277 50352467 209223047 13950530509 153455835599 1102091910211 12123011012321