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12215110320 = 2432574159113
BaseRepresentation
bin10110110000001001…
…11100101010110000
31011112021212220020100
423120010330222300
5200004032012240
65340032112400
7611462503350
oct133004745260
934467786210
1012215110320
1151a91251a6
12244a995700
1311c88ac73a
1483c414b60
154b75b1e30
hex2d813cab0

12215110320 has 240 divisors, whose sum is σ = 48027051072. Its totient is φ = 2723880960.

The previous prime is 12215110277. The next prime is 12215110333. The reversal of 12215110320 is 2301151221.

12215110320 is a `hidden beast` number, since 122 + 1 + 511 + 0 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12215110293 and 12215110302.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177084 + ... + 236196.

Almost surely, 212215110320 is an apocalyptic number.

12215110320 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 12215110320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24013525536).

12215110320 is an abundant number, since it is smaller than the sum of its proper divisors (35811940752).

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

12215110320 is a wasteful number, since it uses less digits than its factorization.

12215110320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59180 (or 59171 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 12215110320 its reverse (2301151221), we get a palindrome (14516261541).

The spelling of 12215110320 in words is "twelve billion, two hundred fifteen million, one hundred ten thousand, three hundred twenty".