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12009850000 = 2455240197
BaseRepresentation
bin10110010111101011…
…11100010010010000
31010222222122121000021
423023311330102100
5144044010200000
65303420433224
7603421016641
oct131365742220
933888577007
1012009850000
11510327a075
1223b20a8814
131195203025
1481d0636c8
154a456911a
hex2cbd7c490

12009850000 has 60 divisors (see below), whose sum is σ = 29084615028. Its totient is φ = 4803920000.

The previous prime is 12009849983. The next prime is 12009850003. The reversal of 12009850000 is 5890021.

12009850000 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 6 ways, for example, as 7837206784 + 4172643216 = 88528^2 + 64596^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12009850003) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 70099 + ... + 170098.

Almost surely, 212009850000 is an apocalyptic number.

12009850000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12009850000 is an abundant number, since it is smaller than the sum of its proper divisors (17074765028).

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

12009850000 is an frugal number, since it uses more digits than its factorization.

12009850000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240230 (or 240204 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

The spelling of 12009850000 in words is "twelve billion, nine million, eight hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 3125 5000 6250 10000 12500 25000 50000 240197 480394 960788 1200985 1921576 2401970 3843152 4803940 6004925 9607880 12009850 19215760 24019700 30024625 48039400 60049250 96078800 120098500 150123125 240197000 300246250 480394000 600492500 750615625 1200985000 1501231250 2401970000 3002462500 6004925000 12009850000