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12128086480 = 245151601081
BaseRepresentation
bin10110100101110001…
…11110100111010000
31011022020010121222011
423102320332213100
5144314242231410
65323242552304
7606355014466
oct132270764720
934266117864
1012128086480
115163a96974
122425808694
1311b3860343
14830a40836
154aeb2218a
hex2d2e3e9d0

12128086480 has 20 divisors (see below), whose sum is σ = 28197801252. Its totient is φ = 4851234560.

The previous prime is 12128086463. The next prime is 12128086511. The reversal of 12128086480 is 8468082121.

It can be written as a sum of positive squares in 2 ways, for example, as 1366928784 + 10761157696 = 36972^2 + 103736^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 75800461 + ... + 75800620.

Almost surely, 212128086480 is an apocalyptic number.

12128086480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12128086480 is an abundant number, since it is smaller than the sum of its proper divisors (16069714772).

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

12128086480 is a wasteful number, since it uses less digits than its factorization.

12128086480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151601094 (or 151601088 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 40.

The spelling of 12128086480 in words is "twelve billion, one hundred twenty-eight million, eighty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 151601081 303202162 606404324 758005405 1212808648 1516010810 2425617296 3032021620 6064043240 12128086480