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120122313121 = 337433823201
BaseRepresentation
bin110111111011111011…
…0010000100110100001
3102111001112022202120001
41233313312100212201
53432002303004441
6131103342020001
711451512546266
oct1576766204641
9374045282501
10120122313121
1146a41a06848
121b344877601
13b4346410b5
145b576a526d
1531d0ab6731
hex1bf7d909a1

120122313121 has 8 divisors (see below), whose sum is σ = 120757147784. Its totient is φ = 119489126400.

The previous prime is 120122313071. The next prime is 120122313127. The reversal of 120122313121 is 121313221021.

It can be written as a sum of positive squares in 4 ways, for example, as 831514896 + 119290798225 = 28836^2 + 345385^2 .

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 120122313121 - 27 = 120122312993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120122313127) 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, 265680 + ... + 557521.

It is an arithmetic number, because the mean of its divisors is an integer number (15094643473).

Almost surely, 2120122313121 is an apocalyptic number.

It is an amenable number.

120122313121 is a deficient number, since it is larger than the sum of its proper divisors (634834663).

120122313121 is an equidigital number, since it uses as much as digits as its factorization.

120122313121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823971.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 120122313121 its reverse (121313221021), we get a palindrome (241435534142).

The spelling of 120122313121 in words is "one hundred twenty billion, one hundred twenty-two million, three hundred thirteen thousand, one hundred twenty-one".

Divisors: 1 337 433 145921 823201 277418737 356446033 120122313121