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12002120101001 = 27592994349699
BaseRepresentation
bin1010111010100111011000…
…0110101110110010001001
31120111101120101102101121202
42232221312012232302021
53033120320221213001
641305410423113545
72346060503406002
oct256516606566211
946441511371552
1012002120101001
1139080859a2098
12141a1118a28b5
13690a449c7b14
142d6c973bc1a9
1515c30910896b
hexaea761aec89

12002120101001 has 4 divisors (see below), whose sum is σ = 12002127210000. Its totient is φ = 12002112992004.

The previous prime is 12002120100953. The next prime is 12002120101033. The reversal of 12002120101001 is 10010102120021.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12002120101001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12002120106001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 584450 + ... + 4934148.

It is an arithmetic number, because the mean of its divisors is an integer number (3000531802500).

Almost surely, 212002120101001 is an apocalyptic number.

It is an amenable number.

12002120101001 is a deficient number, since it is larger than the sum of its proper divisors (7108999).

12002120101001 is an equidigital number, since it uses as much as digits as its factorization.

12002120101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7108998.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12002120101001 its reverse (10010102120021), we get a palindrome (22012222221022).

The spelling of 12002120101001 in words is "twelve trillion, two billion, one hundred twenty million, one hundred one thousand, one".

Divisors: 1 2759299 4349699 12002120101001