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230012121200 = 24521813898167
BaseRepresentation
bin1101011000110111001…
…0100111000001110000
3210222200221101102000212
43112031302213001300
512232031100334300
6253355514003252
722421625525431
oct3261562470160
9728627342025
10230012121200
1189602934054
12386b2716528
13188c8069484
14b1bdda3488
155eb3194935
hex358dca7070

230012121200 has 120 divisors (see below), whose sum is σ = 557153819040. Its totient is φ = 91250150400.

The previous prime is 230012121187. The next prime is 230012121239. The reversal of 230012121200 is 2121210032.

It is a happy number.

It is a congruent number.

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, 28159517 + ... + 28167683.

It is an arithmetic number, because the mean of its divisors is an integer number (4642948492).

Almost surely, 2230012121200 is an apocalyptic number.

230012121200 is a gapful number since it is divisible by the number (20) 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 230012121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278576909520).

230012121200 is an abundant number, since it is smaller than the sum of its proper divisors (327141697840).

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

230012121200 is a wasteful number, since it uses less digits than its factorization.

230012121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8755 (or 8744 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 230012121200 its reverse (2121210032), we get a palindrome (232133331232).

The spelling of 230012121200 in words is "two hundred thirty billion, twelve million, one hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 181 200 362 389 400 724 778 905 1448 1556 1810 1945 2896 3112 3620 3890 4525 6224 7240 7780 8167 9050 9725 14480 15560 16334 18100 19450 31120 32668 36200 38900 40835 65336 70409 72400 77800 81670 130672 140818 155600 163340 204175 281636 326680 352045 408350 563272 653360 704090 816700 1126544 1408180 1478227 1633400 1760225 2816360 2956454 3176963 3266800 3520450 5632720 5912908 6353926 7040900 7391135 11825816 12707852 14081800 14782270 15884815 23651632 25415704 28163600 29564540 31769630 36955675 50831408 59129080 63539260 73911350 79424075 118258160 127078520 147822700 158848150 254157040 295645400 317696300 575030303 591290800 635392600 1150060606 1270785200 2300121212 2875151515 4600242424 5750303030 9200484848 11500606060 14375757575 23001212120 28751515150 46002424240 57503030300 115006060600 230012121200