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12001113000 = 2332531333457
BaseRepresentation
bin10110010110101001…
…00111001110101000
31010222101012201002200
423023110213032220
5144034241104000
65302505300200
7603253530432
oct131324471650
933871181080
1012001113000
1150a9351908
1223ab194660
1311934642c6
1481bc2b652
154a38e0500
hex2cb5273a8

12001113000 has 96 divisors (see below), whose sum is σ = 40563792360. Its totient is φ = 3200294400.

The previous prime is 12001112989. The next prime is 12001113041. The reversal of 12001113000 is 31110021.

12001113000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 423783396 + 11577329604 = 20586^2 + 107598^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 657729 + ... + 675728.

Almost surely, 212001113000 is an apocalyptic number.

12001113000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12001113000 is an abundant number, since it is smaller than the sum of its proper divisors (28562679360).

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

12001113000 is a wasteful number, since it uses less digits than its factorization.

12001113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333484 (or 1333467 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 12001113000 its reverse (31110021), we get a palindrome (12032223021).

The spelling of 12001113000 in words is "twelve billion, one million, one hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 3000 4500 9000 1333457 2666914 4000371 5333828 6667285 8000742 10667656 12001113 13334570 16001484 20001855 24002226 26669140 32002968 33336425 40003710 48004452 53338280 60005565 66672850 80007420 96008904 100009275 120011130 133345700 160014840 166682125 200018550 240022260 266691400 300027825 333364250 400037100 480044520 500046375 600055650 666728500 800074200 1000092750 1200111300 1333457000 1500139125 2000185500 2400222600 3000278250 4000371000 6000556500 12001113000