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12113223200 = 2552131497817
BaseRepresentation
bin10110100100000000…
…10001111000100000
31011021012011111101022
423102000101320200
5144301441120300
65321552225012
7606114461351
oct132200217040
934235144338
1012113223200
115156664971
12242083b168
1311b0757cc0
1482ca91d28
154ad688285
hex2d2011e20

12113223200 has 144 divisors (see below), whose sum is σ = 32063963400. Its totient is φ = 4441989120.

The previous prime is 12113223173. The next prime is 12113223209. The reversal of 12113223200 is 232231121.

It can be written as a sum of positive squares in 12 ways, for example, as 3108731536 + 9004491664 = 55756^2 + 94892^2 .

It is not an unprimeable number, because it can be changed into a prime (12113223209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1545692 + ... + 1553508.

Almost surely, 212113223200 is an apocalyptic number.

12113223200 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 12113223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16031981700).

12113223200 is an abundant number, since it is smaller than the sum of its proper divisors (19950740200).

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

12113223200 is a wasteful number, since it uses less digits than its factorization.

12113223200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7999 (or 7986 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 12113223200 its reverse (232231121), we get a palindrome (12345454321).

The spelling of 12113223200 in words is "twelve billion, one hundred thirteen million, two hundred twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 130 149 160 200 208 260 298 325 400 416 520 596 650 745 800 1040 1192 1300 1490 1937 2080 2384 2600 2980 3725 3874 4768 5200 5960 7450 7748 7817 9685 10400 11920 14900 15496 15634 19370 23840 29800 30992 31268 38740 39085 48425 59600 61984 62536 77480 78170 96850 101621 119200 125072 154960 156340 193700 195425 203242 250144 309920 312680 387400 390850 406484 508105 625360 774800 781700 812968 1016210 1164733 1250720 1549600 1563400 1625936 2032420 2329466 2540525 3126800 3251872 4064840 4658932 5081050 5823665 6253600 8129680 9317864 10162100 11647330 15141529 16259360 18635728 20324200 23294660 29118325 30283058 37271456 40648400 46589320 58236650 60566116 75707645 81296800 93178640 116473300 121132232 151415290 186357280 232946600 242264464 302830580 378538225 465893200 484528928 605661160 757076450 931786400 1211322320 1514152900 2422644640 3028305800 6056611600 12113223200