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122221122001 = 1111111011091
BaseRepresentation
bin111000111010011110…
…0100101000111010001
3102200110210121022002021
41301310330211013101
54000302101401001
6132051514451441
711554516252516
oct1616474450721
9380423538067
10122221122001
1147919700a40
121b82b733b81
13b6aa402a44
145cb632130d
1532a4e95ba1
hex1c74f251d1

122221122001 has 4 divisors (see below), whose sum is σ = 133332133104. Its totient is φ = 111110110900.

The previous prime is 122221121987. The next prime is 122221122013. The reversal of 122221122001 is 100221122221.

It is a happy number.

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 an emirpimes, since its reverse is a distinct semiprime: 100221122221 = 119111011111.

It is a cyclic number.

It is not a de Polignac number, because 122221122001 - 211 = 122221119953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122221192001) 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 3 ways as a sum of consecutive naturals, for example, 5555505535 + ... + 5555505556.

It is an arithmetic number, because the mean of its divisors is an integer number (33333033276).

Almost surely, 2122221122001 is an apocalyptic number.

122221122001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122221122001 is a deficient number, since it is larger than the sum of its proper divisors (11111011103).

122221122001 is a wasteful number, since it uses less digits than its factorization.

122221122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11111011102.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 122221122001 its reverse (100221122221), we get a palindrome (222442244222).

The spelling of 122221122001 in words is "one hundred twenty-two billion, two hundred twenty-one million, one hundred twenty-two thousand, one".

Divisors: 1 11 11111011091 122221122001