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12321310032 = 243364344357
BaseRepresentation
bin10110111100110100…
…00100010101010000
31011210200201101212000
423132122010111100
5200213223410112
65354344234000
7614222256453
oct133632042520
934720641760
1012321310032
115253070659
12247a46b900
1312148b40c5
1484c57b49a
154c1a8d7dc
hex2de684550

12321310032 has 80 divisors (see below), whose sum is σ = 35422524480. Its totient is φ = 4100623488.

The previous prime is 12321309977. The next prime is 12321310039. The reversal of 12321310032 is 23001312321.

12321310032 is a `hidden beast` number, since 1 + 2 + 321 + 310 + 0 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12321309987 and 12321310014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12321310039) 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, 255598 + ... + 299954.

It is an arithmetic number, because the mean of its divisors is an integer number (442781556).

Almost surely, 212321310032 is an apocalyptic number.

12321310032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12321310032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17711262240).

12321310032 is an abundant number, since it is smaller than the sum of its proper divisors (23101214448).

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

12321310032 is a wasteful number, since it uses less digits than its factorization.

12321310032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45017 (or 45005 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12321310032 its reverse (23001312321), we get a palindrome (35322622353).

The spelling of 12321310032 in words is "twelve billion, three hundred twenty-one million, three hundred ten thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 643 1286 1929 2572 3858 5144 5787 7716 10288 11574 15432 17361 23148 30864 34722 44357 46296 69444 88714 92592 133071 138888 177428 266142 277776 354856 399213 532284 709712 798426 1064568 1197639 1596852 2129136 2395278 3193704 4790556 6387408 9581112 19162224 28521551 57043102 85564653 114086204 171129306 228172408 256693959 342258612 456344816 513387918 684517224 770081877 1026775836 1369034448 1540163754 2053551672 3080327508 4107103344 6160655016 12321310032