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12750712128 = 26327111915131
BaseRepresentation
bin10111110000000000…
…00110110101000000
31012220121201021210100
423320000012311000
5202103140242003
65505124002400
7630655156560
oct137000066500
935817637710
1012750712128
115453498820
12257a230400
13128284b49b
1488d5d6da0
154e960dba3
hex2f8006d40

12750712128 has 336 divisors, whose sum is σ = 47967229440. Its totient is φ = 3137356800.

The previous prime is 12750712123. The next prime is 12750712133. The reversal of 12750712128 is 82121705721.

12750712128 is a `hidden beast` number, since 1 + 2 + 7 + 507 + 121 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (12750712123) and next prime (12750712133).

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×127507121282 (a number of 21 digits) contains 22 as substring.

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 = 12750712092 and 12750712101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12750712123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 835123 + ... + 850253.

Almost surely, 212750712128 is an apocalyptic number.

12750712128 is a gapful number since it is divisible by the number (18) 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 12750712128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23983614720).

12750712128 is an abundant number, since it is smaller than the sum of its proper divisors (35216517312).

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

12750712128 is a wasteful number, since it uses less digits than its factorization.

12750712128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15186 (or 15173 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 36.

The spelling of 12750712128 in words is "twelve billion, seven hundred fifty million, seven hundred twelve thousand, one hundred twenty-eight".