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12234154123404 = 22325311815429323
BaseRepresentation
bin1011001000000111110001…
…1010010010000010001100
31121022120111020101000200100
42302001330122102002030
53100421021423422104
642004143125331100
72401613513144223
oct262017432220214
947276436330610
1012234154123404
113997526071474
121457089566a90
136a98a2909225
143041c9adbcba
15163389a3a139
hexb207c69208c

12234154123404 has 72 divisors (see below), whose sum is σ = 31535403196752. Its totient is φ = 3997718375040.

The previous prime is 12234154123393. The next prime is 12234154123421. The reversal of 12234154123404 is 40432145143221.

12234154123404 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 415 + 4 + 1 + 234 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 461314 + ... + 4968009.

It is an arithmetic number, because the mean of its divisors is an integer number (437991711066).

Almost surely, 212234154123404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12234154123404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15767701598376).

12234154123404 is an abundant number, since it is smaller than the sum of its proper divisors (19301249073348).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12234154123404 is a wasteful number, since it uses less digits than its factorization.

12234154123404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5430567 (or 5430562 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 12234154123404 its reverse (40432145143221), we get a palindrome (52666299266625).

The spelling of 12234154123404 in words is "twelve trillion, two hundred thirty-four billion, one hundred fifty-four million, one hundred twenty-three thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1181 1908 2362 3543 4724 7086 10629 14172 21258 42516 62593 125186 187779 250372 375558 563337 751116 1126674 2253348 5429323 10858646 16287969 21717292 32575938 48863907 65151876 97727814 195455628 287754119 575508238 863262357 1151016476 1726524714 2589787071 3453049428 5179574142 6412030463 10359148284 12824060926 19236091389 25648121852 38472182778 57708274167 76944365556 115416548334 230833096668 339837614539 679675229078 1019512843617 1359350458156 2039025687234 3058538530851 4078051374468 6117077061702 12234154123404