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12120010001010 = 2325157857750177
BaseRepresentation
bin1011000001011110100011…
…1001000000101001110010
31120220122212100001211002200
42300113220321000221302
53042033240030013020
641435504500524030
72360433101130252
oct260275071005162
946818770054080
1012120010001010
11395308174a91a
121438b329b0616
1369bbb19990c2
142dc87c3a9962
15160408bee590
hexb05e8e40a72

12120010001010 has 48 divisors (see below), whose sum is σ = 31712739581016. Its totient is φ = 3211416658944.

The previous prime is 12120010000979. The next prime is 12120010001059. The reversal of 12120010001010 is 1010001002121.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5855156186049 + 6264853814961 = 2419743^2 + 2502969^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 12120010000983 and 12120010001001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 428860959 + ... + 428889218.

Almost surely, 212120010001010 is an apocalyptic number.

12120010001010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12120010001010 is an abundant number, since it is smaller than the sum of its proper divisors (19592729580006).

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

12120010001010 is a wasteful number, since it uses less digits than its factorization.

12120010001010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857750347 (or 857750344 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12120010001010 its reverse (1010001002121), we get a palindrome (13130011003131).

The spelling of 12120010001010 in words is "twelve trillion, one hundred twenty billion, ten million, one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 157 314 471 785 942 1413 1570 2355 2826 4710 7065 14130 857750177 1715500354 2573250531 4288750885 5146501062 7719751593 8577501770 12866252655 15439503186 25732505310 38598757965 77197515930 134666777789 269333555578 404000333367 673333888945 808000666734 1212001000101 1346667777890 2020001666835 2424002000202 4040003333670 6060005000505 12120010001010