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122200212121 = 1367355739443
BaseRepresentation
bin111000111001110110…
…0110100001010011001
3102200102100020222010021
41301303230310022121
54000231223241441
6132045450350441
711554143444001
oct1616354641231
9380370228107
10122200212121
114790891a049
121b82472b421
13b6a5c91430
145cb363b001
1532a32153d1
hex1c73b34299

122200212121 has 16 divisors (see below), whose sum is σ = 133605347904. Its totient is φ = 111082555584.

The previous prime is 122200212091. The next prime is 122200212143. The reversal of 122200212121 is 121212002221.

It is a happy number.

It is not a de Polignac number, because 122200212121 - 213 = 122200203929 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122200212095 and 122200212104.

It is not an unprimeable number, because it can be changed into a prime (122200212521) 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, 3078426 + ... + 3117868.

It is an arithmetic number, because the mean of its divisors is an integer number (8350334244).

Almost surely, 2122200212121 is an apocalyptic number.

It is an amenable number.

122200212121 is a deficient number, since it is larger than the sum of its proper divisors (11405135783).

122200212121 is a wasteful number, since it uses less digits than its factorization.

122200212121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43080.

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

Adding to 122200212121 its reverse (121212002221), we get a palindrome (243412214342).

The spelling of 122200212121 in words is "one hundred twenty-two billion, two hundred million, two hundred twelve thousand, one hundred twenty-one".

Divisors: 1 13 67 871 3557 39443 46241 238319 512759 2642681 3098147 34354853 140298751 1823883763 9400016317 122200212121