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12001012110121 = 531931930960761
BaseRepresentation
bin1010111010100011010000…
…0100000101001100101001
31120111021201011112121212111
42232220310010011030221
53033111033100010441
641305104443042321
72346021160551616
oct256506404051451
946437634477774
1012001012110121
11390766751a151
121419a628103a1
136908c92a9c08
142d6bd019d50d
1515c291be5081
hexaea34105329

12001012110121 has 16 divisors (see below), whose sum is σ = 12291639768720. Its totient is φ = 11712770334720.

The previous prime is 12001012110091. The next prime is 12001012110151. The reversal of 12001012110121 is 12101121010021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12001012110091) and next prime (12001012110151).

It can be written as a sum of positive squares in 8 ways, for example, as 8089023721 + 11992923086400 = 89939^2 + 3463080^2 .

It is a cyclic number.

It is not a de Polignac number, because 12001012110121 - 229 = 12000475239209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12001012110151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197481381 + ... + 197542141.

It is an arithmetic number, because the mean of its divisors is an integer number (768227485545).

Almost surely, 212001012110121 is an apocalyptic number.

It is an amenable number.

12001012110121 is a deficient number, since it is larger than the sum of its proper divisors (290627658599).

12001012110121 is a wasteful number, since it uses less digits than its factorization.

12001012110121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80316.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 12001012110121 its reverse (12101121010021), we get a palindrome (24102133120142).

The spelling of 12001012110121 in words is "twelve trillion, one billion, twelve million, one hundred ten thousand, one hundred twenty-one".

Divisors: 1 53 193 10229 19309 60761 1023377 3220333 3726637 11726873 197511761 621524269 1173234149 62181409897 226434190757 12001012110121