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12322131312 = 2433712754631
BaseRepresentation
bin10110111100111010…
…01100110101110000
31011210202021010102210
423132131030311300
5200213431200222
65354414012120
7614232250041
oct133635146560
934722233383
1012322131312
1152535816a7
12247a7a7040
131214b10b7a
1484c7128c8
154c1ba1d0c
hex2de74cd70

12322131312 has 80 divisors (see below), whose sum is σ = 32950525952. Its totient is φ = 3964826880.

The previous prime is 12322131277. The next prime is 12322131319. The reversal of 12322131312 is 21313122321.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12322131319) by changing a digit.

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, 198237 + ... + 252867.

Almost surely, 212322131312 is an apocalyptic number.

12322131312 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 12322131312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16475262976).

12322131312 is an abundant number, since it is smaller than the sum of its proper divisors (20628394640).

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

12322131312 is a wasteful number, since it uses less digits than its factorization.

12322131312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54806 (or 54800 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

Adding to 12322131312 its reverse (21313122321), we get a palindrome (33635253633).

The spelling of 12322131312 in words is "twelve billion, three hundred twenty-two million, one hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 127 148 222 254 296 381 444 508 592 762 888 1016 1524 1776 2032 3048 4699 6096 9398 14097 18796 28194 37592 54631 56388 75184 109262 112776 163893 218524 225552 327786 437048 655572 874096 1311144 2021347 2622288 4042694 6064041 6938137 8085388 12128082 13876274 16170776 20814411 24256164 27752548 32341552 41628822 48512328 55505096 83257644 97024656 111010192 166515288 256711069 333030576 513422138 770133207 1026844276 1540266414 2053688552 3080532828 4107377104 6161065656 12322131312