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12880128 = 28331541
BaseRepresentation
bin110001001000…
…100100000000
3220020101012210
4301020210000
511244131003
61140022120
7214323252
oct61104400
926211183
1012880128
1172a8038
124391940
13288c7a1
1419d3cd2
1511e6503
hexc48900

12880128 has 72 divisors (see below), whose sum is σ = 35451136. Its totient is φ = 4147200.

The previous prime is 12880121. The next prime is 12880129. The reversal of 12880128 is 82108821.

It is a junction number, because it is equal to n+sod(n) for n = 12880095 and 12880104.

It is not an unprimeable number, because it can be changed into a prime (12880121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23538 + ... + 24078.

Almost surely, 212880128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12880128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17725568).

12880128 is an abundant number, since it is smaller than the sum of its proper divisors (22571008).

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

12880128 is an equidigital number, since it uses as much as digits as its factorization.

12880128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 30.

The square root of 12880128 is about 3588.8895218438. The cubic root of 12880128 is about 234.4085200769.

Adding to 12880128 its reverse (82108821), we get a palindrome (94988949).

The spelling of 12880128 in words is "twelve million, eight hundred eighty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 541 744 768 992 1082 1488 1623 1984 2164 2976 3246 3968 4328 5952 6492 7936 8656 11904 12984 16771 17312 23808 25968 33542 34624 50313 51936 67084 69248 100626 103872 134168 138496 201252 207744 268336 402504 415488 536672 805008 1073344 1610016 2146688 3220032 4293376 6440064 12880128