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12201215440 = 245152515193
BaseRepresentation
bin10110101110011111…
…11100010111010000
31011111022201222001011
423113033330113100
5144442002343230
65334414220304
7611233422451
oct132717742720
934438658034
1012201215440
1151a12a4827
1224461b4694
1311c5a5610b
1483a639128
154b6269e2a
hex2d73fc5d0

12201215440 has 20 divisors (see below), whose sum is σ = 28367826084. Its totient is φ = 4880486144.

The previous prime is 12201215407. The next prime is 12201215449. The reversal of 12201215440 is 4451210221.

It can be written as a sum of positive squares in 2 ways, for example, as 6899628096 + 5301587344 = 83064^2 + 72812^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12201215449) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 76257517 + ... + 76257676.

Almost surely, 212201215440 is an apocalyptic number.

12201215440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12201215440 is an abundant number, since it is smaller than the sum of its proper divisors (16166610644).

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

12201215440 is a wasteful number, since it uses less digits than its factorization.

12201215440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152515206 (or 152515200 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

Adding to 12201215440 its reverse (4451210221), we get a palindrome (16652425661).

The spelling of 12201215440 in words is "twelve billion, two hundred one million, two hundred fifteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 152515193 305030386 610060772 762575965 1220121544 1525151930 2440243088 3050303860 6100607720 12201215440