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12266271400 = 2352109562673
BaseRepresentation
bin10110110110010000…
…00111001010101000
31011122212011011001011
423123020013022220
5200110131141100
65345100433304
7612653405125
oct133310071250
934585134034
1012266271400
115224a99289
122463b48834
131206383476
1484513174c
154bbd1abba
hex2db2072a8

12266271400 has 48 divisors (see below), whose sum is σ = 28780775100. Its totient is φ = 4861486080.

The previous prime is 12266271397. The next prime is 12266271401. The reversal of 12266271400 is 417266221.

It can be written as a sum of positive squares in 6 ways, for example, as 2387104164 + 9879167236 = 48858^2 + 99394^2 .

It is a super-2 number, since 2×122662714002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12266271401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 259537 + ... + 303136.

Almost surely, 212266271400 is an apocalyptic number.

12266271400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12266271400 is an abundant number, since it is smaller than the sum of its proper divisors (16514503700).

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

12266271400 is a wasteful number, since it uses less digits than its factorization.

12266271400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562798 (or 562789 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The spelling of 12266271400 in words is "twelve billion, two hundred sixty-six million, two hundred seventy-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 109 200 218 436 545 872 1090 2180 2725 4360 5450 10900 21800 562673 1125346 2250692 2813365 4501384 5626730 11253460 14066825 22506920 28133650 56267300 61331357 112534600 122662714 245325428 306656785 490650856 613313570 1226627140 1533283925 2453254280 3066567850 6133135700 12266271400