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12000101120001 = 321333344568889
BaseRepresentation
bin1010111010011111110111…
…0000111011100000000001
31120111012100200100112100200
42232213331300323200001
53033102201341320001
641304434221235413
72345656456351011
oct256477560734001
946435320315320
1012000101120001
11390723a270855
121419849702b69
136907b26360c7
142d6b451c1c41
1515c23bc47086
hexae9fdc3b801

12000101120001 has 6 divisors (see below), whose sum is σ = 17333479395570. Its totient is φ = 8000067413328.

The previous prime is 12000101119997. The next prime is 12000101120023. The reversal of 12000101120001 is 10002110100021.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 11892503999601 + 107597120400 = 3448551^2 + 328020^2 .

It is not a de Polignac number, because 12000101120001 - 22 = 12000101119997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1333344568889 = 12000101120001 / (1 + 2 + 0 + 0 + 0 + 1 + 0 + 1 + 1 + 2 + 0 + 0 + 0 + 1).

It is not an unprimeable number, because it can be changed into a prime (12000101120201) 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 5 ways as a sum of consecutive naturals, for example, 666672284436 + ... + 666672284453.

It is an arithmetic number, because the mean of its divisors is an integer number (2888913232595).

Almost surely, 212000101120001 is an apocalyptic number.

It is an amenable number.

12000101120001 is a deficient number, since it is larger than the sum of its proper divisors (5333378275569).

12000101120001 is a wasteful number, since it uses less digits than its factorization.

12000101120001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333344568895 (or 1333344568892 counting only the distinct ones).

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

Adding to 12000101120001 its reverse (10002110100021), we get a palindrome (22002211220022).

The spelling of 12000101120001 in words is "twelve trillion, one hundred one million, one hundred twenty thousand, one".

Divisors: 1 3 9 1333344568889 4000033706667 12000101120001