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12221139200 = 285213271439
BaseRepresentation
bin10110110000110111…
…11100100100000000
31011112201020012022012
423120123330210000
5200012102423300
65340405232052
7611564653304
oct133033744400
934481205265
1012221139200
115201572846
122450a02628
1311c9c1091a
1483d143d04
154b7da3435
hex2d86fc900

12221139200 has 108 divisors (see below), whose sum is σ = 30293061120. Its totient is φ = 4881377280.

The previous prime is 12221139199. The next prime is 12221139251. The reversal of 12221139200 is 293112221.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8492081 + ... + 8493519.

Almost surely, 212221139200 is an apocalyptic number.

12221139200 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 12221139200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15146530560).

12221139200 is an abundant number, since it is smaller than the sum of its proper divisors (18071921920).

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

12221139200 is a wasteful number, since it uses less digits than its factorization.

12221139200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2792 (or 2773 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The spelling of 12221139200 in words is "twelve billion, two hundred twenty-one million, one hundred thirty-nine thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 640 800 1280 1327 1439 1600 2654 2878 3200 5308 5756 6400 6635 7195 10616 11512 13270 14390 21232 23024 26540 28780 33175 35975 42464 46048 53080 57560 66350 71950 84928 92096 106160 115120 132700 143900 169856 184192 212320 230240 265400 287800 339712 368384 424640 460480 530800 575600 849280 920960 1061600 1151200 1698560 1841920 1909553 2123200 2302400 3819106 4246400 4604800 7638212 8492800 9209600 9547765 15276424 19095530 30552848 38191060 47738825 61105696 76382120 95477650 122211392 152764240 190955300 244422784 305528480 381910600 488845568 611056960 763821200 1222113920 1527642400 2444227840 3055284800 6110569600 12221139200