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3122120013121 = 100912892400521
BaseRepresentation
bin101101011011101100110…
…110101011010101000001
3102001110201220121201020001
4231123230312223111001
5402123100210404441
610350140535120001
7441365021145544
oct55335466532501
912043656551201
103122120013121
11aa40a139905a
12425107813001
13198550cc14b5
14ab17ba1885b
15563308b6731
hex2d6ecdab541

3122120013121 has 8 divisors (see below), whose sum is σ = 3127640113800. Its totient is φ = 3116604718080.

The previous prime is 3122120013053. The next prime is 3122120013127. The reversal of 3122120013121 is 1213100212213.

It can be written as a sum of positive squares in 4 ways, for example, as 538902810000 + 2583217203121 = 734100^2 + 1607239^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3122120013121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3122120013127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100341 + ... + 2500861.

It is an arithmetic number, because the mean of its divisors is an integer number (390955014225).

Almost surely, 23122120013121 is an apocalyptic number.

It is an amenable number.

3122120013121 is a deficient number, since it is larger than the sum of its proper divisors (5520100679).

3122120013121 is a wasteful number, since it uses less digits than its factorization.

3122120013121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2402819.

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

Adding to 3122120013121 its reverse (1213100212213), we get a palindrome (4335220225334).

The spelling of 3122120013121 in words is "three trillion, one hundred twenty-two billion, one hundred twenty million, thirteen thousand, one hundred twenty-one".

Divisors: 1 1009 1289 1300601 2400521 2422125689 3094271569 3122120013121