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12134422443121 = 112163629997673
BaseRepresentation
bin1011000010010100001111…
…1100000111010001110001
31120222001001202121201212221
42300211003330013101301
53042302244121134441
641450250545321041
72361453204641026
oct260450374072161
946861052551787
1012134422443121
1139591a8141a00
12143b895636181
136a036a884864
142dd44856554d
1516099e1528d1
hexb0943f07471

12134422443121 has 24 divisors (see below), whose sum is σ = 13421931314400. Its totient is φ = 10961763721920.

The previous prime is 12134422443089. The next prime is 12134422443137.

12134422443121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12134422443121 - 25 = 12134422443089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12134422443191) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124186341 + ... + 124284013.

It is an arithmetic number, because the mean of its divisors is an integer number (559247138100).

Almost surely, 212134422443121 is an apocalyptic number.

12134422443121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12134422443121 is a deficient number, since it is larger than the sum of its proper divisors (1287508871279).

12134422443121 is a wasteful number, since it uses less digits than its factorization.

12134422443121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104157 (or 104146 counting only the distinct ones).

The product of its digits is 36864, while the sum is 34.

It can be divided in two parts, 1213442 and 2443121, that added together give a palindrome (3656563).

The spelling of 12134422443121 in words is "twelve trillion, one hundred thirty-four billion, four hundred twenty-two million, four hundred forty-three thousand, one hundred twenty-one".

Divisors: 1 11 121 163 1793 6299 19723 69289 97673 762179 1026737 1074403 11294107 11818433 15920699 124235177 175127689 615242227 1926404579 6767664497 74444309467 100284483001 1103129313011 12134422443121