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12322133122321 = 112958601659159
BaseRepresentation
bin1011001101001111100001…
…0111100001110100010001
31121121222120122101020111201
42303103320113201310101
53103341212034403241
642112413152511201
72411146642250311
oct263237027416421
947558518336451
1012322133122321
113a20872a01530
12147014154b501
136b4c83b10179
14308574435441
151657d8756931
hexb34f85e1d11

12322133122321 has 16 divisors (see below), whose sum is σ = 13906113955200. Its totient is φ = 10815464464000.

The previous prime is 12322133122319. The next prime is 12322133122339.

12322133122321 is nontrivially palindromic in base 10.

12322133122321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12322133122321 - 21 = 12322133122319 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12322133122321.

It is not an unprimeable number, because it can be changed into a prime (12322133122301) 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, 18364140 + ... + 19023298.

It is an arithmetic number, because the mean of its divisors is an integer number (869132122200).

Almost surely, 212322133122321 is an apocalyptic number.

12322133122321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12322133122321 is a deficient number, since it is larger than the sum of its proper divisors (1583980832879).

12322133122321 is a wasteful number, since it uses less digits than its factorization.

12322133122321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717800.

The product of its digits is 5184, while the sum is 28.

It can be divided in two parts, 1232213 and 3122321, that added together give a palindrome (4354534).

The spelling of 12322133122321 in words is "twelve trillion, three hundred twenty-two billion, one hundred thirty-three million, one hundred twenty-two thousand, three hundred twenty-one".

Divisors: 1 11 29 319 58601 644611 659159 1699429 7250749 18693719 19115611 210271721 38627376559 424901142149 1120193920211 12322133122321