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12225081528450 = 2345271727193601
BaseRepresentation
bin1011000111100101111110…
…1001000101000010000010
31121021201001221200110010000
42301321133221011002002
53100243431332402300
642000042552220430
72401142626311120
oct261713751050202
947251057613100
1012225081528450
11399369a8a760a
12145537709a716
136a8a880bc24b
143039a8bca910
151630082bdc00
hexb1e5fa45082

12225081528450 has 480 divisors, whose sum is σ = 41255783889408. Its totient is φ = 2620200960000.

The previous prime is 12225081528391. The next prime is 12225081528461. The reversal of 12225081528450 is 5482518052221.

12225081528450 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 5 + 0 + 81 + 528 + 45 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 12225081528396 and 12225081528405.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 130561650 + ... + 130655250.

Almost surely, 212225081528450 is an apocalyptic number.

12225081528450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12225081528450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20627891944704).

12225081528450 is an abundant number, since it is smaller than the sum of its proper divisors (29030702360958).

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

12225081528450 is a wasteful number, since it uses less digits than its factorization.

12225081528450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93920 (or 93906 counting only the distinct ones).

The product of its (nonzero) digits is 512000, while the sum is 45.

The spelling of 12225081528450 in words is "twelve trillion, two hundred twenty-five billion, eighty-one million, five hundred twenty-eight thousand, four hundred fifty".