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12121101200 = 24521323101347
BaseRepresentation
bin10110100100111100…
…10101001110010000
31011021201222201222002
423102132111032100
5144311000214300
65322433133132
7606241442315
oct132236251620
934251881862
1012121101200
11516005580a
1224233ba1a8
1311b2285a40
1482db42d0c
154ae1e25d5
hex2d2795390

12121101200 has 120 divisors (see below), whose sum is σ = 32724863808. Its totient is φ = 4280855040.

The previous prime is 12121101199. The next prime is 12121101211. The reversal of 12121101200 is 210112121.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68927 + ... + 170273.

Almost surely, 212121101200 is an apocalyptic number.

12121101200 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 12121101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16362431904).

12121101200 is an abundant number, since it is smaller than the sum of its proper divisors (20603762608).

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

12121101200 is a wasteful number, since it uses less digits than its factorization.

12121101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101401 (or 101390 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12121101200 its reverse (210112121), we get a palindrome (12331213321).

The spelling of 12121101200 in words is "twelve billion, one hundred twenty-one million, one hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 23 25 26 40 46 50 52 65 80 92 100 104 115 130 184 200 208 230 260 299 325 368 400 460 520 575 598 650 920 1040 1150 1196 1300 1495 1840 2300 2392 2600 2990 4600 4784 5200 5980 7475 9200 11960 14950 23920 29900 59800 101347 119600 202694 405388 506735 810776 1013470 1317511 1621552 2026940 2330981 2533675 2635022 4053880 4661962 5067350 5270044 6587555 8107760 9323924 10134700 10540088 11654905 13175110 18647848 20269400 21080176 23309810 26350220 30302753 32937775 37295696 40538800 46619620 52700440 58274525 60605506 65875550 93239240 105400880 116549050 121211012 131751100 151513765 186478480 233098100 242422024 263502200 303027530 466196200 484844048 527004400 606055060 757568825 932392400 1212110120 1515137650 2424220240 3030275300 6060550600 12121101200