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12006210528 = 2533131517079
BaseRepresentation
bin10110010111010000…
…00011101111100000
31010222201210200121000
423023220003233200
5144042042214103
65303210432000
7603345051144
oct131350035740
933881720530
1012006210528
115101213744
1223b0a32600
13119452a5b0
1481c797224
154a409aaa3
hex2cba03be0

12006210528 has 192 divisors, whose sum is σ = 37966924800. Its totient is φ = 3669235200.

The previous prime is 12006210521. The next prime is 12006210529. The reversal of 12006210528 is 82501260021.

Adding to 12006210528 its reverse (82501260021), we get a palindrome (94507470549).

It is a happy number.

12006210528 is a `hidden beast` number, since 12 + 0 + 0 + 621 + 0 + 5 + 28 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12006210521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1692493 + ... + 1699571.

It is an arithmetic number, because the mean of its divisors is an integer number (197744400).

Almost surely, 212006210528 is an apocalyptic number.

12006210528 is a gapful number since it is divisible by the number (18) 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 12006210528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18983462400).

12006210528 is an abundant number, since it is smaller than the sum of its proper divisors (25960714272).

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

12006210528 is a wasteful number, since it uses less digits than its factorization.

12006210528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7262 (or 7248 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 12006210528 in words is "twelve billion, six million, two hundred ten thousand, five hundred twenty-eight".