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12026225376 = 25321171127421
BaseRepresentation
bin10110011001101000…
…11010001011100000
31011001010110112210200
423030310122023200
5144112203203001
65305203425200
7604010141364
oct131464321340
934033415720
1012026225376
115111544140
1223b7685200
1311987176b9
148212c72a4
154a5c01086
hex2ccd1a2e0

12026225376 has 288 divisors, whose sum is σ = 38222585856. Its totient is φ = 3556224000.

The previous prime is 12026225371. The next prime is 12026225377. The reversal of 12026225376 is 67352262021.

12026225376 is a `hidden beast` number, since 1 + 2 + 0 + 262 + 25 + 376 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 12026225376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12026225371) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28565646 + ... + 28566066.

It is an arithmetic number, because the mean of its divisors is an integer number (132717312).

Almost surely, 212026225376 is an apocalyptic number.

12026225376 is a gapful number since it is divisible by the number (16) 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 12026225376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19111292928).

12026225376 is an abundant number, since it is smaller than the sum of its proper divisors (26196360480).

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

12026225376 is a wasteful number, since it uses less digits than its factorization.

12026225376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Adding to 12026225376 its reverse (67352262021), we get a palindrome (79378487397).

The spelling of 12026225376 in words is "twelve billion, twenty-six million, two hundred twenty-five thousand, three hundred seventy-six".