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122210112121 = 6111317729597
BaseRepresentation
bin111000111010001001…
…0100101001001111001
3102200110000212221100221
41301310102211021321
54000241242041441
6132050442500041
711554323545656
oct1616422451171
9380400787327
10122210112121
1147913471069
121b827b04621
13b6a8049616
145cb4a96c2d
1532a401d8d1
hex1c744a5279

122210112121 has 8 divisors (see below), whose sum is σ = 125312798664. Its totient is φ = 119142885120.

The previous prime is 122210112071. The next prime is 122210112131. The reversal of 122210112121 is 121211012221.

It can be written as a sum of positive squares in 4 ways, for example, as 29389959225 + 92820152896 = 171435^2 + 304664^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 122210112121 - 211 = 122210110073 is a prime.

It is a super-2 number, since 2×1222101121212 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122210112095 and 122210112104.

It is not an unprimeable number, because it can be changed into a prime (122210112131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8857906 + ... + 8871691.

It is an arithmetic number, because the mean of its divisors is an integer number (15664099833).

Almost surely, 2122210112121 is an apocalyptic number.

It is an amenable number.

122210112121 is a deficient number, since it is larger than the sum of its proper divisors (3102686543).

122210112121 is a wasteful number, since it uses less digits than its factorization.

122210112121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17729771.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 122210112121 its reverse (121211012221), we get a palindrome (243421124342).

The spelling of 122210112121 in words is "one hundred twenty-two billion, two hundred ten million, one hundred twelve thousand, one hundred twenty-one".

Divisors: 1 61 113 6893 17729597 1081505417 2003444461 122210112121