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12110122131331 = 73160012206517
BaseRepresentation
bin1011000000111001101110…
…0001110001111110000011
31120212201100020021222212011
42300032123201301332003
53041403012231200311
641431151401313351
72356633054462000
oct260163341617603
946781306258764
1012110122131331
113949968261aa4
121437033495857
1369ac972ab843
142dc1c10b48a7
1516002aae0321
hexb039b871f83

12110122131331 has 16 divisors (see below), whose sum is σ = 14123480414400. Its totient is φ = 10379451264000.

The previous prime is 12110122131299. The next prime is 12110122131397. The reversal of 12110122131331 is 13313122101121.

12110122131331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12110122131331 - 25 = 12110122131299 is a prime.

It is a super-2 number, since 2×121101221313312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12110122131431) 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, 4385085 + ... + 6591601.

It is an arithmetic number, because the mean of its divisors is an integer number (882717525900).

Almost surely, 212110122131331 is an apocalyptic number.

12110122131331 is a deficient number, since it is larger than the sum of its proper divisors (2013358283069).

12110122131331 is an equidigital number, since it uses as much as digits as its factorization.

12110122131331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2222539 (or 2222525 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

Adding to 12110122131331 its reverse (13313122101121), we get a palindrome (25423244232452).

The spelling of 12110122131331 in words is "twelve trillion, one hundred ten billion, one hundred twenty-two million, one hundred thirty-one thousand, three hundred thirty-one".

Divisors: 1 7 49 343 16001 112007 784049 2206517 5488343 15445619 108119333 756835331 35306478517 247145349619 1730017447333 12110122131331