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12122103303123 = 31123163939710427
BaseRepresentation
bin1011000001100110010110…
…1010010100101111010011
31120220212021012222120202120
42300121211222110233103
53042102031421144443
641440452315345323
72360536006660002
oct260314552245723
946825235876676
1012122103303123
113953a56323770
121439417a52243
1369c1565803c8
142dc9da3d0c39
151604cc892083
hexb0665a94bd3

12122103303123 has 64 divisors (see below), whose sum is σ = 18515386847232. Its totient is φ = 6982780970880.

The previous prime is 12122103303103. The next prime is 12122103303137. The reversal of 12122103303123 is 32130330122121.

12122103303123 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12122103303123 - 232 = 12117808335827 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12122103303093 and 12122103303102.

It is not an unprimeable number, because it can be changed into a prime (12122103303103) 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, 1162563436 + ... + 1162573862.

It is an arithmetic number, because the mean of its divisors is an integer number (289302919488).

Almost surely, 212122103303123 is an apocalyptic number.

12122103303123 is a deficient number, since it is larger than the sum of its proper divisors (6393283544109).

12122103303123 is a wasteful number, since it uses less digits than its factorization.

12122103303123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20024.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 12122103303123 its reverse (32130330122121), we get a palindrome (44252433425244).

The spelling of 12122103303123 in words is "twelve trillion, one hundred twenty-two billion, one hundred three million, three hundred three thousand, one hundred twenty-three".

Divisors: 1 3 11 23 33 69 163 253 489 759 1793 3749 5379 9397 10427 11247 28191 31281 41239 103367 114697 123717 216131 239821 310101 344091 648393 719463 1531711 1699601 2377441 2638031 4595133 5098803 7132323 7914093 16848821 18695611 35229353 39090823 50546463 56086833 97982519 105688059 117272469 293947557 387522883 429999053 1077807709 1162568649 1289997159 2253597937 3233423127 6760793811 15971150597 24789577307 47913451791 74368731921 175682656567 367336463731 527047969701 1102009391193 4040701101041 12122103303123