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12700992200 = 23521326132
BaseRepresentation
bin10111101010000100…
…11100001011001000
31012210011011020212112
423311002130023020
5202002423222300
65500150201452
7626512436531
oct136502341310
935704136775
1012700992200
115428419476
122565653288
131275460700
14886b73688
154e508be35
hex2f509c2c8

12700992200 has 108 divisors (see below), whose sum is σ = 32028311385. Its totient is φ = 4681946880.

The previous prime is 12700992191. The next prime is 12700992223. The reversal of 12700992200 is 229900721.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 14 ways, for example, as 11518870276 + 1182121924 = 107326^2 + 34382^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=79690.

It is a super-2 number, since 2×127009922002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20719094 + ... + 20719706.

Almost surely, 212700992200 is an apocalyptic number.

12700992200 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 12700992200

12700992200 is an abundant number, since it is smaller than the sum of its proper divisors (19327319185).

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

12700992200 is an equidigital number, since it uses as much as digits as its factorization.

12700992200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 32.

Multiplying 12700992200 by its sum of digits (32), we get a square (406431750400 = 6375202).

The spelling of 12700992200 in words is "twelve billion, seven hundred million, nine hundred ninety-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 169 200 260 325 338 520 613 650 676 845 1226 1300 1352 1690 2452 2600 3065 3380 4225 4904 6130 6760 7969 8450 12260 15325 15938 16900 24520 30650 31876 33800 39845 61300 63752 79690 103597 122600 159380 199225 207194 318760 375769 398450 414388 517985 751538 796900 828776 1035970 1503076 1593800 1878845 2071940 2589925 3006152 3757690 4143880 4884997 5179850 7515380 9394225 9769994 10359700 15030760 18788450 19539988 20719400 24424985 37576900 39079976 48849970 63504961 75153800 97699940 122124925 127009922 195399880 244249850 254019844 317524805 488499700 508039688 635049610 976999400 1270099220 1587624025 2540198440 3175248050 6350496100 12700992200