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12331121985 = 3257133011263
BaseRepresentation
bin10110111101111110…
…11111110101000001
31011211101011220022200
423132333133311001
5200223231400420
65355334423413
7614401543650
oct133677376501
934741156280
1012331121985
115258662506
122481801b69
13121693b1b0
1484d9b3197
154c287ab90
hex2defdfd41

12331121985 has 48 divisors (see below), whose sum is σ = 26306402304. Its totient is φ = 5203460736.

The previous prime is 12331121981. The next prime is 12331122007. The reversal of 12331121985 is 58912113321.

12331121985 is a `hidden beast` number, since 123 + 311 + 219 + 8 + 5 = 666.

It is not a de Polignac number, because 12331121985 - 22 = 12331121981 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12331121981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1501537 + ... + 1509726.

It is an arithmetic number, because the mean of its divisors is an integer number (548050048).

Almost surely, 212331121985 is an apocalyptic number.

12331121985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12331121985 is an abundant number, since it is smaller than the sum of its proper divisors (13975280319).

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

12331121985 is a wasteful number, since it uses less digits than its factorization.

12331121985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3011294 (or 3011291 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The spelling of 12331121985 in words is "twelve billion, three hundred thirty-one million, one hundred twenty-one thousand, nine hundred eighty-five".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 63 65 91 105 117 195 273 315 455 585 819 1365 4095 3011263 9033789 15056315 21078841 27101367 39146419 45168945 63236523 105394205 117439257 135506835 189709569 195732095 274024933 316182615 352317771 587196285 822074799 948547845 1370124665 1761588855 2466224397 4110373995 12331121985