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12013688000 = 26537919009
BaseRepresentation
bin10110011000001001…
…00101010011000000
31011000020212120202102
423030010211103000
5144101001004000
65304035005532
7603465443306
oct131404452300
934006776672
1012013688000
115105460676
1223b34398a8
131195c47c32
1481d782276
154a4a763d5
hex2cc1254c0

12013688000 has 112 divisors (see below), whose sum is σ = 30130089600. Its totient is φ = 4744396800.

The previous prime is 12013687991. The next prime is 12013688041. The reversal of 12013688000 is 88631021.

It is a super-2 number, since 2×120136880002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 622496 + ... + 641504.

Almost surely, 212013688000 is an apocalyptic number.

12013688000 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 12013688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15065044800).

12013688000 is an abundant number, since it is smaller than the sum of its proper divisors (18116401600).

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

12013688000 is an equidigital number, since it uses as much as digits as its factorization.

12013688000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19115 (or 19095 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The spelling of 12013688000 in words is "twelve billion, thirteen million, six hundred eighty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 79 80 100 125 158 160 200 250 316 320 395 400 500 632 790 800 1000 1264 1580 1600 1975 2000 2528 3160 3950 4000 5056 6320 7900 8000 9875 12640 15800 19009 19750 25280 31600 38018 39500 63200 76036 79000 95045 126400 152072 158000 190090 304144 316000 380180 475225 608288 632000 760360 950450 1216576 1501711 1520720 1900900 2376125 3003422 3041440 3801800 4752250 6006844 6082880 7508555 7603600 9504500 12013688 15017110 15207200 19009000 24027376 30034220 30414400 37542775 38018000 48054752 60068440 75085550 76036000 96109504 120136880 150171100 152072000 187713875 240273760 300342200 375427750 480547520 600684400 750855500 1201368800 1501711000 2402737600 3003422000 6006844000 12013688000