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12042003002000 = 24536021001501
BaseRepresentation
bin1010111100111011111101…
…0011111011001010010000
31120122012111220010200111012
42233032333103323022100
53034244010232031000
641340004140110052
72352002026440206
oct257167723731220
946565456120435
1012042003002000
113922a9183a9a4
1214259a2535328
1369472c72aa1a
142d8b9c1c7076
1515d3906ae735
hexaf3bf4fb290

12042003002000 has 40 divisors (see below), whose sum is σ = 29117563263672. Its totient is φ = 4816801200000.

The previous prime is 12042003001933. The next prime is 12042003002011. The reversal of 12042003002000 is 20030024021.

It can be written as a sum of positive squares in 4 ways, for example, as 6876389776 + 12035126612224 = 82924^2 + 3469168^2 .

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

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, 3010498751 + ... + 3010502750.

Almost surely, 212042003002000 is an apocalyptic number.

12042003002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12042003002000 is an abundant number, since it is smaller than the sum of its proper divisors (17075560261672).

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

12042003002000 is an equidigital number, since it uses as much as digits as its factorization.

12042003002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6021001524 (or 6021001508 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 12042003002000 its reverse (20030024021), we get a palindrome (12062033026021).

The spelling of 12042003002000 in words is "twelve trillion, forty-two billion, three million, two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 6021001501 12042003002 24084006004 30105007505 48168012008 60210015010 96336024016 120420030020 150525037525 240840060040 301050075050 481680120080 602100150100 752625187625 1204200300200 1505250375250 2408400600400 3010500750500 6021001501000 12042003002000