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12271000320 = 283253134361
BaseRepresentation
bin10110110110110100…
…01001101100000000
31011200012001101220100
423123122021230000
5200112334002240
65345350042400
7613041532065
oct133332115400
934605041810
1012271000320
115227729187
122465649400
13120734aa47
14845a02c6c
154bc451e30
hex2db689b00

12271000320 has 216 divisors, whose sum is σ = 43827219072. Its totient is φ = 3166617600.

The previous prime is 12271000303. The next prime is 12271000321. The reversal of 12271000320 is 2300017221.

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 = 12271000293 and 12271000302.

It is not an unprimeable number, because it can be changed into a prime (12271000321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 339940 + ... + 374300.

It is an arithmetic number, because the mean of its divisors is an integer number (202903792).

Almost surely, 212271000320 is an apocalyptic number.

12271000320 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 12271000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21913609536).

12271000320 is an abundant number, since it is smaller than the sum of its proper divisors (31556218752).

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

12271000320 is a wasteful number, since it uses less digits than its factorization.

12271000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34419 (or 34402 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

Adding to 12271000320 its reverse (2300017221), we get a palindrome (14571017541).

The spelling of 12271000320 in words is "twelve billion, two hundred seventy-one million, three hundred twenty", and thus it is an aban number.