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12141300000 = 2535540471
BaseRepresentation
bin10110100111010110…
…11000100100100000
31011100010222221111210
423103223120210200
5144331133100000
65324434110120
7606605230044
oct132353304440
934303887453
1012141300000
1151704a1435
12242a11b340
1311b65087ab
148326c0024
154b0d82350
hex2d3ad8920

12141300000 has 144 divisors (see below), whose sum is σ = 39837075264. Its totient is φ = 3237600000.

The previous prime is 12141299941. The next prime is 12141300013. The reversal of 12141300000 is 314121.

It is a happy number.

It is a super-2 number, since 2×121413000002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 279765 + ... + 320235.

It is an arithmetic number, because the mean of its divisors is an integer number (276646356).

Almost surely, 212141300000 is an apocalyptic number.

12141300000 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 12141300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19918537632).

12141300000 is an abundant number, since it is smaller than the sum of its proper divisors (27695775264).

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

12141300000 is an frugal number, since it uses more digits than its factorization.

12141300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40509 (or 40481 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 12141300000 its reverse (314121), we get a palindrome (12141614121).

The spelling of 12141300000 in words is "twelve billion, one hundred forty-one million, three hundred thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3125 3750 4000 5000 6000 6250 7500 9375 10000 12000 12500 15000 18750 20000 25000 30000 37500 40471 50000 60000 75000 80942 100000 121413 150000 161884 202355 242826 300000 323768 404710 485652 607065 647536 809420 971304 1011775 1214130 1295072 1618840 1942608 2023550 2428260 3035325 3237680 3885216 4047100 4856520 5058875 6070650 6475360 8094200 9713040 10117750 12141300 15176625 16188400 19426080 20235500 24282600 25294375 30353250 32376800 40471000 48565200 50588750 60706500 75883125 80942000 97130400 101177500 121413000 126471875 151766250 161884000 202355000 242826000 252943750 303532500 379415625 404710000 485652000 505887500 607065000 758831250 809420000 1011775000 1214130000 1517662500 2023550000 2428260000 3035325000 4047100000 6070650000 12141300000