Search a number
-
+
122001200121 = 3371798961099
BaseRepresentation
bin111000110011111010…
…1101001001111111001
3102122220110210002222110
41301213311221033321
53444324301400441
6132014021042533
711546206043043
oct1614765511771
9378813702873
10122001200121
1147816551419
121b789b56449
13b673991a58
145c95034a93
153290a03b16
hex1c67d693f9

122001200121 has 16 divisors (see below), whose sum is σ = 167076728000. Its totient is φ = 79130219328.

The previous prime is 122001200099. The next prime is 122001200147. The reversal of 122001200121 is 121002100221.

It is not a de Polignac number, because 122001200121 - 210 = 122001199097 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122001200097 and 122001200106.

It is not an unprimeable number, because it can be changed into a prime (122001200171) 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 15 ways as a sum of consecutive naturals, for example, 1966230 + ... + 2027328.

It is an arithmetic number, because the mean of its divisors is an integer number (10442295500).

Almost surely, 2122001200121 is an apocalyptic number.

It is an amenable number.

122001200121 is a deficient number, since it is larger than the sum of its proper divisors (45075527879).

122001200121 is a wasteful number, since it uses less digits than its factorization.

122001200121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79128.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 122001200121 its reverse (121002100221), we get a palindrome (243003300342).

The spelling of 122001200121 in words is "one hundred twenty-two billion, one million, two hundred thousand, one hundred twenty-one".

Divisors: 1 3 37 111 17989 53967 61099 183297 665593 1996779 2260663 6781989 1099109911 3297329733 40667066707 122001200121