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122201202001 = 4312657841
BaseRepresentation
bin111000111001111000…
…0100101110101010001
3102200102102010020222111
41301303300211311101
54000232001431001
6132045523505321
711554155035644
oct1616360456521
9380372106874
10122201202001
114790943582a
121b824b28241
13b6a6249b68
145cb3817a5b
1532a335d851
hex1c73c25d51

122201202001 has 6 divisors (see below), whose sum is σ = 122485575506. Its totient is φ = 121917487200.

The previous prime is 122201201999. The next prime is 122201202007. The reversal of 122201202001 is 100202102221.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 114470572225 + 7730629776 = 338335^2 + 87924^2 .

It is not a de Polignac number, because 122201202001 - 21 = 122201201999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122201202007) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 143160 + ... + 514681.

Almost surely, 2122201202001 is an apocalyptic number.

It is an amenable number.

122201202001 is a deficient number, since it is larger than the sum of its proper divisors (284373505).

122201202001 is an frugal number, since it uses more digits than its factorization.

122201202001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658703 (or 658272 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 122201202001 its reverse (100202102221), we get a palindrome (222403304222).

The spelling of 122201202001 in words is "one hundred twenty-two billion, two hundred one million, two hundred two thousand, one".

Divisors: 1 431 185761 657841 283529471 122201202001