Search a number
-
+
122211220001 = 13173149936251
BaseRepresentation
bin111000111010001011…
…0110011101000100001
3102200110002222020002112
41301310112303220201
54000242033020001
6132050522325105
711554336141643
oct1616426635041
9380402866075
10122211220001
1147914058472
121b828359795
13b6a8346980
145cb4ca4893
1532a418bcbb
hex1c745b3a21

122211220001 has 16 divisors (see below), whose sum is σ = 132464808000. Its totient is φ = 112080360000.

The previous prime is 122211219967. The next prime is 122211220067. The reversal of 122211220001 is 100022112221.

It is a cyclic number.

It is not a de Polignac number, because 122211220001 - 26 = 122211219937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122211220301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3353126 + ... + 3389376.

It is an arithmetic number, because the mean of its divisors is an integer number (8279050500).

Almost surely, 2122211220001 is an apocalyptic number.

It is an amenable number.

122211220001 is a deficient number, since it is larger than the sum of its proper divisors (10253587999).

122211220001 is a wasteful number, since it uses less digits than its factorization.

122211220001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37936.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 122211220001 its reverse (100022112221), we get a palindrome (222233332222).

The spelling of 122211220001 in words is "one hundred twenty-two billion, two hundred eleven million, two hundred twenty thousand, one".

Divisors: 1 13 173 1499 2249 19487 36251 259327 471263 3371251 6271423 54340249 81528499 706423237 9400863077 122211220001