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12123110120 = 23511291277481
BaseRepresentation
bin10110100101001011…
…11111101011101000
31011021212202210200112
423102211333223220
5144312004010440
65322544153452
7606264510242
oct132245775350
934255683615
1012123110120
1151611a8080
122424008888
1311b280a254
14830107092
154ae48c965
hex2d297fae8

12123110120 has 128 divisors (see below), whose sum is σ = 31029350400. Its totient is φ = 4222310400.

The previous prime is 12123110101. The next prime is 12123110177. The reversal of 12123110120 is 2101132121.

It is a junction number, because it is equal to n+sod(n) for n = 12123110095 and 12123110104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1616780 + ... + 1624260.

It is an arithmetic number, because the mean of its divisors is an integer number (242416800).

Almost surely, 212123110120 is an apocalyptic number.

12123110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12123110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15514675200).

12123110120 is an abundant number, since it is smaller than the sum of its proper divisors (18906240280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12123110120 is a wasteful number, since it uses less digits than its factorization.

12123110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7659 (or 7655 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 12123110120 its reverse (2101132121), we get a palindrome (14224242241).

The spelling of 12123110120 in words is "twelve billion, one hundred twenty-three million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 29 40 44 55 58 88 110 116 127 145 220 232 254 290 319 440 508 580 635 638 1016 1160 1270 1276 1397 1595 2540 2552 2794 3190 3683 5080 5588 6380 6985 7366 7481 11176 12760 13970 14732 14962 18415 27940 29464 29924 36830 37405 40513 55880 59848 73660 74810 81026 82291 147320 149620 162052 164582 202565 216949 299240 324104 329164 405130 411455 433898 658328 810260 822910 867796 950087 1084745 1620520 1645820 1735592 1900174 2169490 2386439 3291640 3800348 4338980 4750435 4772878 7600696 8677960 9500870 9545756 10450957 11932195 19001740 19091512 20901914 23864390 27552523 38003480 41803828 47728780 52254785 55105046 83607656 95457560 104509570 110210092 137762615 209019140 220420184 275525230 303077753 418038280 551050460 606155506 1102100920 1212311012 1515388765 2424622024 3030777530 6061555060 12123110120