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12122300300 = 22521121735791
BaseRepresentation
bin10110100101000101…
…11001111110001100
31011021211020122211012
423102202321332030
5144311302102200
65322514544352
7606254565245
oct132242717614
934254218735
1012122300300
1151607a4700
1224238980b8
1311b25b5776
1482dd75ccc
154ae37ca35
hex2d28b9f8c

12122300300 has 108 divisors (see below), whose sum is σ = 29086346688. Its totient is φ = 4381872000.

The previous prime is 12122300273. The next prime is 12122300329. The reversal of 12122300300 is 300322121.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2090405 + ... + 2096195.

Almost surely, 212122300300 is an apocalyptic number.

12122300300 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 12122300300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14543173344).

12122300300 is an abundant number, since it is smaller than the sum of its proper divisors (16964046388).

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

12122300300 is a wasteful number, since it uses less digits than its factorization.

12122300300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6000 (or 5982 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 12122300300 its reverse (300322121), we get a palindrome (12422622421).

The spelling of 12122300300 in words is "twelve billion, one hundred twenty-two million, three hundred thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 173 220 242 275 346 484 550 605 692 865 1100 1210 1730 1903 2420 3025 3460 3806 4325 5791 6050 7612 8650 9515 11582 12100 17300 19030 20933 23164 28955 38060 41866 47575 57910 63701 83732 95150 104665 115820 127402 144775 190300 209330 254804 289550 318505 418660 523325 579100 637010 700711 1001843 1046650 1274020 1401422 1592525 2003686 2093300 2802844 3185050 3503555 4007372 5009215 6370100 7007110 10018430 11020273 14014220 17517775 20036860 22040546 25046075 35035550 44081092 50092150 55101365 70071100 100184300 110202730 121223003 220405460 242446006 275506825 484892012 551013650 606115015 1102027300 1212230030 2424460060 3030575075 6061150150 12122300300