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122232313121 = 295098280761
BaseRepresentation
bin111000111010110011…
…1010001010100100001
3102200111120122212102012
41301311213101110201
54000312433004441
6132052554402305
711555013342632
oct1616547212441
9380446585365
10122232313121
1147924a54aa6
121b833430395
13b6ac8207c9
145cb79d5889
1532a5e569eb
hex1c759d1521

122232313121 has 8 divisors (see below), whose sum is σ = 126695658600. Its totient is φ = 117785530240.

The previous prime is 122232313097. The next prime is 122232313129. The reversal of 122232313121 is 121313232221.

It can be written as a sum of positive squares in 4 ways, for example, as 4747210000 + 117485103121 = 68900^2 + 342761^2 .

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 122232313121 - 26 = 122232313057 is a prime.

It is a super-5 number, since 5×1222323131215 (a number of 57 digits) contains 55555 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122232313129) 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, 4125620 + ... + 4155141.

It is an arithmetic number, because the mean of its divisors is an integer number (15836957325).

Almost surely, 2122232313121 is an apocalyptic number.

It is an amenable number.

122232313121 is a deficient number, since it is larger than the sum of its proper divisors (4463345479).

122232313121 is an equidigital number, since it uses as much as digits as its factorization.

122232313121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8281299.

The product of its digits is 864, while the sum is 23.

Adding to 122232313121 its reverse (121313232221), we get a palindrome (243545545342).

The spelling of 122232313121 in words is "one hundred twenty-two billion, two hundred thirty-two million, three hundred thirteen thousand, one hundred twenty-one".

Divisors: 1 29 509 14761 8280761 240142069 4214907349 122232313121