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12123300120 = 23353716091697
BaseRepresentation
bin10110100101001101…
…01110000100011000
31011021220010110022120
423102212232010120
5144312031100440
65322552221240
7606266231211
oct132246560430
934256113276
1012123300120
1151613178a8
12242409a820
1311b2875889
14830156408
154ae4c8dd0
hex2d29ae118

12123300120 has 128 divisors (see below), whose sum is σ = 37398110400. Its totient is φ = 3141697536.

The previous prime is 12123300109. The next prime is 12123300181. The reversal of 12123300120 is 2100332121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12123300120.

It is a congruent number.

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, 7143112 + ... + 7144808.

Almost surely, 212123300120 is an apocalyptic number.

12123300120 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 12123300120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18699055200).

12123300120 is an abundant number, since it is smaller than the sum of its proper divisors (25274810280).

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

12123300120 is a wasteful number, since it uses less digits than its factorization.

12123300120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3357 (or 3353 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12123300120 its reverse (2100332121), we get a palindrome (14223632241).

The spelling of 12123300120 in words is "twelve billion, one hundred twenty-three million, three hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1110 1480 1609 1697 2220 3218 3394 4440 4827 5091 6436 6788 8045 8485 9654 10182 12872 13576 16090 16970 19308 20364 24135 25455 32180 33940 38616 40728 48270 50910 59533 62789 64360 67880 96540 101820 119066 125578 178599 188367 193080 203640 238132 251156 297665 313945 357198 376734 476264 502312 595330 627890 714396 753468 892995 941835 1190660 1255780 1428792 1506936 1785990 1883670 2381320 2511560 2730473 3571980 3767340 5460946 7143960 7534680 8191419 10921892 13652365 16382838 21843784 27304730 32765676 40957095 54609460 65531352 81914190 101027501 109218920 163828380 202055002 303082503 327656760 404110004 505137505 606165006 808220008 1010275010 1212330012 1515412515 2020550020 2424660024 3030825030 4041100040 6061650060 12123300120