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12012003202000 = 24536006001601
BaseRepresentation
bin1010111011001100001100…
…1011110001001111010000
31120112100002011012221110111
42232303003023301033100
53033301040304431000
641314123232211104
72346560431363354
oct256630313611720
946470064187414
1012012003202000
11391129772315a
12142000b699a94
1369195b405989
142d7553bd1464
1515c6d6ac4cba
hexaecc32f13d0

12012003202000 has 40 divisors (see below), whose sum is σ = 29045023747272. Its totient is φ = 4804801280000.

The previous prime is 12012003201983. The next prime is 12012003202081. The reversal of 12012003202000 is 20230021021.

12012003202000 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 78626403216 + 11933376798784 = 280404^2 + 3454472^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×120120032020003 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3002998801 + ... + 3003002800.

Almost surely, 212012003202000 is an apocalyptic number.

12012003202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12012003202000 is an abundant number, since it is smaller than the sum of its proper divisors (17033020545272).

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

12012003202000 is an equidigital number, since it uses as much as digits as its factorization.

12012003202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6006001624 (or 6006001608 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 12012003202000 its reverse (20230021021), we get a palindrome (12032233223021).

The spelling of 12012003202000 in words is "twelve trillion, twelve billion, three million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 6006001601 12012003202 24024006404 30030008005 48048012808 60060016010 96096025616 120120032020 150150040025 240240064040 300300080050 480480128080 600600160100 750750200125 1201200320200 1501500400250 2402400640400 3003000800500 6006001601000 12012003202000