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12228780060 = 2233573103641
BaseRepresentation
bin10110110001110010…
…00110000000011100
31011120020121101121000
423120321012000130
5200021031430220
65341241110300
7612016626000
oct133071060034
934506541530
1012228780060
115205911502
122453488390
1311cb687743
14840172700
154b88b2390
hex2d8e4601c

12228780060 has 384 divisors, whose sum is σ = 44868096000. Its totient is φ = 2763694080.

The previous prime is 12228780043. The next prime is 12228780061. The reversal of 12228780060 is 6008782221.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 12228779997 and 12228780024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12228780061) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19077340 + ... + 19077980.

It is an arithmetic number, because the mean of its divisors is an integer number (116844000).

Almost surely, 212228780060 is an apocalyptic number.

12228780060 is a gapful number since it is divisible by the number (10) 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 12228780060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22434048000).

12228780060 is an abundant number, since it is smaller than the sum of its proper divisors (32639315940).

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

12228780060 is a wasteful number, since it uses less digits than its factorization.

12228780060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 12228780060 in words is "twelve billion, two hundred twenty-eight million, seven hundred eighty thousand, sixty".