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12321117024 = 253179717011
BaseRepresentation
bin10110111100110010…
…10101001101100000
31011210200100121002120
423132121111031200
5200213201221044
65354340144240
7614220523656
oct133631251540
934720317076
1012321117024
115252a49647
12247a398080
1312148472b8
1484c52add6
154c1a51519
hex2de655360

12321117024 has 48 divisors (see below), whose sum is σ = 32523664320. Its totient is φ = 4084088960.

The previous prime is 12321116971. The next prime is 12321117037. The reversal of 12321117024 is 42071112321.

12321117024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 12321116985 and 12321117003.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 341322 + ... + 375689.

It is an arithmetic number, because the mean of its divisors is an integer number (677576340).

Almost surely, 212321117024 is an apocalyptic number.

It is an amenable number.

12321117024 is an abundant number, since it is smaller than the sum of its proper divisors (20202547296).

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

12321117024 is a wasteful number, since it uses less digits than its factorization.

12321117024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717203 (or 717195 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

Adding to 12321117024 its reverse (42071112321), we get a palindrome (54392229345).

The spelling of 12321117024 in words is "twelve billion, three hundred twenty-one million, one hundred seventeen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 179 358 537 716 1074 1432 2148 2864 4296 5728 8592 17184 717011 1434022 2151033 2868044 4302066 5736088 8604132 11472176 17208264 22944352 34416528 68833056 128344969 256689938 385034907 513379876 770069814 1026759752 1540139628 2053519504 3080279256 4107039008 6160558512 12321117024