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12131221232 = 2413194371387
BaseRepresentation
bin10110100110001001…
…11011111011110000
31011022110000220001002
423103010323323300
5144321043034412
65323434101132
7606423451634
oct132304737360
934273026032
1012131221232
115165838079
12242687a7a8
1311b43ba120
14831218dc4
154b0040dc2
hex2d313bef0

12131221232 has 80 divisors (see below), whose sum is σ = 27264504960. Its totient is φ = 5180910336.

The previous prime is 12131221211. The next prime is 12131221253. The reversal of 12131221232 is 23212213121.

It is an interprime number because it is at equal distance from previous prime (12131221211) and next prime (12131221253).

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, 134243 + ... + 205629.

It is an arithmetic number, because the mean of its divisors is an integer number (340806312).

Almost surely, 212131221232 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 12131221232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13632252480).

12131221232 is an abundant number, since it is smaller than the sum of its proper divisors (15133283728).

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

12131221232 is a wasteful number, since it uses less digits than its factorization.

12131221232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71470 (or 71464 counting only the distinct ones).

The product of its digits is 288, while the sum is 20.

Adding to 12131221232 its reverse (23212213121), we get a palindrome (35343434353).

The spelling of 12131221232 in words is "twelve billion, one hundred thirty-one million, two hundred twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 19 26 38 43 52 76 86 104 152 172 208 247 304 344 494 559 688 817 988 1118 1634 1976 2236 3268 3952 4472 6536 8944 10621 13072 21242 42484 71387 84968 142774 169936 285548 571096 928031 1142192 1356353 1856062 2712706 3069641 3712124 5425412 6139282 7424248 10850824 12278564 14848496 17632589 21701648 24557128 35265178 39905333 49114256 58323179 70530356 79810666 116646358 141060712 159621332 233292716 282121424 319242664 466585432 638485328 758201327 933170864 1516402654 3032805308 6065610616 12131221232