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12342222224321 = 1116015801120811
BaseRepresentation
bin1011001110011010010111…
…0001010111101111000001
31121200220102200120100201112
42303212211301113233001
53104203332342134241
642125534424013105
72412460525636643
oct263464561275701
947626380510645
1012342222224321
113a29341759170
121474009301195
136b6b35ab4082
1430951c4b2893
151660b22231eb
hexb39a5c57bc1

12342222224321 has 16 divisors (see below), whose sum is σ = 13475086330176. Its totient is φ = 11211168000000.

The previous prime is 12342222224291. The next prime is 12342222224383.

12342222224321 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 12342222224321 - 218 = 12342221962177 is a prime.

It is a super-2 number, since 2×123422222243212 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12342222224021) 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, 102101006 + ... + 102221816.

It is an arithmetic number, because the mean of its divisors is an integer number (842192895636).

Almost surely, 212342222224321 is an apocalyptic number.

12342222224321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12342222224321 is a deficient number, since it is larger than the sum of its proper divisors (1132864105855).

12342222224321 is a wasteful number, since it uses less digits than its factorization.

12342222224321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128224.

The product of its digits is 36864, while the sum is 32.

It can be divided in two parts, 1234222 and 2224321, that added together give a palindrome (3458543).

The spelling of 12342222224321 in words is "twelve trillion, three hundred forty-two billion, two hundred twenty-two million, two hundred twenty-four thousand, three hundred twenty-one".

Divisors: 1 11 1601 5801 17611 63811 120811 1328921 9287401 102161411 193418411 700824611 2127602521 7709070721 1122020202211 12342222224321