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123122120131121 = 2917596692412721
BaseRepresentation
bin11011111111101010011010…
…001111000000001000110001
3121010221100201020121202000212
4123333222122033000020301
5112114213100223143441
61113505304322353505
734635164625344036
oct3377523217001061
9533840636552025
10123122120131121
1136259886032991
1211985a84abb895
13539149b45ca97
1422591dcab938d
15e37a50041eeb
hex6ffa9a3c0231

123122120131121 has 8 divisors (see below), whose sum is σ = 127367835652200. Its totient is φ = 118876412954880.

The previous prime is 123122120131099. The next prime is 123122120131139. The reversal of 123122120131121 is 121131021221321.

It can be written as a sum of positive squares in 4 ways, for example, as 60404590217521 + 62717529913600 = 7772039^2 + 7919440^2 .

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 123122120131121 - 26 = 123122120131057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123122120131181) 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, 49824041 + ... + 52236761.

It is an arithmetic number, because the mean of its divisors is an integer number (15920979456525).

Almost surely, 2123122120131121 is an apocalyptic number.

It is an amenable number.

123122120131121 is a deficient number, since it is larger than the sum of its proper divisors (4245715521079).

123122120131121 is a wasteful number, since it uses less digits than its factorization.

123122120131121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4172419.

The product of its (nonzero) digits is 288, while the sum is 23.

Adding to 123122120131121 its reverse (121131021221321), we get a palindrome (244253141352442).

The spelling of 123122120131121 in words is "one hundred twenty-three trillion, one hundred twenty-two billion, one hundred twenty million, one hundred thirty-one thousand, one hundred twenty-one".

Divisors: 1 29 1759669 2412721 51030401 69968909 4245590349349 123122120131121