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122220102121 = 13101161357709
BaseRepresentation
bin111000111010011100…
…0101100000111101001
3102200110201200111001221
41301310320230013221
54000301321231441
6132051440542041
711554504504225
oct1616470540751
9380421614057
10122220102121
1147919074767
121b82b321921
13b6aa136770
145cb6137785
1532a4d438d1
hex1c74e2c1e9

122220102121 has 16 divisors (see below), whose sum is σ = 133009546320. Its totient is φ = 111630355200.

The previous prime is 122220102113. The next prime is 122220102181. The reversal of 122220102121 is 121201022221.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1342196496 + 120877905625 = 36636^2 + 347675^2 .

It is not a de Polignac number, because 122220102121 - 23 = 122220102113 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122220102095 and 122220102104.

It is not an unprimeable number, because it can be changed into a prime (122220102181) 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 15 ways as a sum of consecutive naturals, for example, 2089015 + ... + 2146723.

It is an arithmetic number, because the mean of its divisors is an integer number (8313096645).

Almost surely, 2122220102121 is an apocalyptic number.

It is an amenable number.

122220102121 is a deficient number, since it is larger than the sum of its proper divisors (10789444199).

122220102121 is a wasteful number, since it uses less digits than its factorization.

122220102121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59436.

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

Adding to 122220102121 its reverse (121201022221), we get a palindrome (243421124342).

The spelling of 122220102121 in words is "one hundred twenty-two billion, two hundred twenty million, one hundred two thousand, one hundred twenty-one".

Divisors: 1 13 101 1313 1613 20969 57709 162913 750217 2117869 5828609 75771917 93084617 1210100021 9401546317 122220102121