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122312343121 = 1741175483993
BaseRepresentation
bin111000111101001100…
…0100011111001010001
3102200201011020210221021
41301322120203321101
54000443424434441
6132104533555441
711560004522353
oct1617230437121
9380634223837
10122312343121
11479661467a1
121b8561a5b81
13b6c3291737
145cc44a90d3
1532aceb43d1
hex1c7a623e51

122312343121 has 8 divisors (see below), whose sum is σ = 132665899464. Its totient is φ = 112309754880.

The previous prime is 122312343089. The next prime is 122312343137. The reversal of 122312343121 is 121343213221.

It can be written as a sum of positive squares in 4 ways, for example, as 6959730625 + 115352612496 = 83425^2 + 339636^2 .

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 122312343121 - 25 = 122312343089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122312343521) 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 7 ways as a sum of consecutive naturals, for example, 87741300 + ... + 87742693.

It is an arithmetic number, because the mean of its divisors is an integer number (16583237433).

Almost surely, 2122312343121 is an apocalyptic number.

It is an amenable number.

122312343121 is a deficient number, since it is larger than the sum of its proper divisors (10353556343).

122312343121 is a wasteful number, since it uses less digits than its factorization.

122312343121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175484051.

The product of its digits is 1728, while the sum is 25.

Adding to 122312343121 its reverse (121343213221), we get a palindrome (243655556342).

The spelling of 122312343121 in words is "one hundred twenty-two billion, three hundred twelve million, three hundred forty-three thousand, one hundred twenty-one".

Divisors: 1 17 41 697 175483993 2983227881 7194843713 122312343121