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12256002432 = 27351912063
BaseRepresentation
bin10110110101000001…
…11100000110000000
31011122010211102200000
423122200330012000
5200100014034212
65344052400000
7612500205342
oct133240740600
934563742600
1012256002432
11521a215033
122460616000
1312041c935b
14843a1b292
154bae8d1dc
hex2da83c180

12256002432 has 192 divisors, whose sum is σ = 36783452160. Its totient is φ = 4061975040.

The previous prime is 12256002419. The next prime is 12256002443. The reversal of 12256002432 is 23420065221.

It is a happy number.

12256002432 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 600 + 24 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×122560024322 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12256002396 and 12256002405.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 5939833 + ... + 5941895.

It is an arithmetic number, because the mean of its divisors is an integer number (191580480).

Almost surely, 212256002432 is an apocalyptic number.

12256002432 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 12256002432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18391726080).

12256002432 is an abundant number, since it is smaller than the sum of its proper divisors (24527449728).

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

12256002432 is an equidigital number, since it uses as much as digits as its factorization.

12256002432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2283 (or 2259 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 12256002432 its reverse (23420065221), we get a palindrome (35676067653).

The spelling of 12256002432 in words is "twelve billion, two hundred fifty-six million, two thousand, four hundred thirty-two".