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12123113123002 = 272977175372229
BaseRepresentation
bin1011000001101010000111…
…0110011110110010111010
31120220221212121010202012211
42300122201312132302322
53042111113424414002
641441140431325334
72360603021210200
oct260324166366272
946827777122184
1012123113123002
113954424344352
12143965a08084a
1369c28784816b
142dca94577070
1516053b362dd7
hexb06a1d9ecba

12123113123002 has 48 divisors (see below), whose sum is σ = 21187619697960. Its totient is φ = 5187269348352.

The previous prime is 12123113122951. The next prime is 12123113123003. The reversal of 12123113123002 is 20032131132121.

It can be written as a sum of positive squares in 4 ways, for example, as 7846939935121 + 4276173187881 = 2801239^2 + 2067891^2 .

It is not an unprimeable number, because it can be changed into a prime (12123113123003) 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 23 ways as a sum of consecutive naturals, for example, 167806624 + ... + 167878852.

Almost surely, 212123113123002 is an apocalyptic number.

12123113123002 is a deficient number, since it is larger than the sum of its proper divisors (9064506574958).

12123113123002 is a wasteful number, since it uses less digits than its factorization.

12123113123002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74975 (or 74968 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 12123113123002 its reverse (20032131132121), we get a palindrome (32155244255123).

The spelling of 12123113123002 in words is "twelve trillion, one hundred twenty-three billion, one hundred thirteen million, one hundred twenty-three thousand, two".

Divisors: 1 2 7 14 49 98 977 1753 1954 3506 6839 12271 13678 24542 47873 72229 85897 95746 144458 171794 505603 1011206 1712681 3425362 3539221 7078442 11988767 23977534 70567733 83921369 126617437 141135466 167842738 253234874 493974131 886322059 987948262 1772644118 3457818917 6204254413 6915637834 12408508826 123705235949 247410471898 865936651643 1731873303286 6061556561501 12123113123002