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12321134424 = 2333347164387
BaseRepresentation
bin10110111100110010…
…11001011101011000
31011210200101110222000
423132121121131120
5200213202300144
65354340401000
7614220625464
oct133631313530
934720343860
1012321134424
115252a60725
12247a3a6160
1312148521b1
1484c5334a4
154c1a56769
hex2de659758

12321134424 has 64 divisors (see below), whose sum is σ = 34324214400. Its totient is φ = 4095184032.

The previous prime is 12321134417. The next prime is 12321134447. The reversal of 12321134424 is 42443112321.

12321134424 is a `hidden beast` number, since 1 + 2 + 3 + 211 + 3 + 442 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7242 + ... + 157145.

It is an arithmetic number, because the mean of its divisors is an integer number (536315850).

Almost surely, 212321134424 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 12321134424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17162107200).

12321134424 is an abundant number, since it is smaller than the sum of its proper divisors (22003079976).

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

12321134424 is a wasteful number, since it uses less digits than its factorization.

12321134424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164749 (or 164739 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 12321134424 its reverse (42443112321), we get a palindrome (54764246745).

The spelling of 12321134424 in words is "twelve billion, three hundred twenty-one million, one hundred thirty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 347 694 1041 1388 2082 2776 3123 4164 6246 8328 9369 12492 18738 24984 37476 74952 164387 328774 493161 657548 986322 1315096 1479483 1972644 2958966 3945288 4438449 5917932 8876898 11835864 17753796 35507592 57042289 114084578 171126867 228169156 342253734 456338312 513380601 684507468 1026761202 1369014936 1540141803 2053522404 3080283606 4107044808 6160567212 12321134424