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12235485312 = 273232592
BaseRepresentation
bin10110110010100101…
…01011000010000000
31011120201020001110200
423121102223002000
5200024241012222
65342040525200
7612130623561
oct133122530200
934521201420
1012235485312
115209681236
122455780800
1311ccb9474b
14840dda168
154b9288eac
hex2d94ab080

12235485312 has 72 divisors (see below), whose sum is σ = 35219690415. Its totient is φ = 4077243648.

The previous prime is 12235485221. The next prime is 12235485337. The reversal of 12235485312 is 21358453221.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 6117742656 + 6117742656 = 78216^2 + 78216^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=78216.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3752739 + ... + 3755997.

Almost surely, 212235485312 is an apocalyptic number.

12235485312 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 12235485312

12235485312 is an abundant number, since it is smaller than the sum of its proper divisors (22984205103).

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

12235485312 is an frugal number, since it uses more digits than its factorization.

12235485312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6538 (or 3264 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The spelling of 12235485312 in words is "twelve billion, two hundred thirty-five million, four hundred eighty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 3259 6518 9777 13036 19554 26072 29331 39108 52144 58662 78216 104288 117324 156432 208576 234648 312864 417152 469296 625728 938592 1251456 1877184 3754368 10621081 21242162 31863243 42484324 63726486 84968648 95589729 127452972 169937296 191179458 254905944 339874592 382358916 509811888 679749184 764717832 1019623776 1359498368 1529435664 2039247552 3058871328 4078495104 6117742656 12235485312