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12128412088 = 2313210188819
BaseRepresentation
bin10110100101110100…
…01110000110111000
31011022020202011121201
423102322032012320
5144314333141323
65323253543544
7606360542002
oct132272160670
934266664551
1012128412088
115164199571
122425944bb4
1311b3945600
14830ac7372
154aeb888ad
hex2d2e8e1b8

12128412088 has 48 divisors (see below), whose sum is σ = 24868711800. Its totient is φ = 5542243200.

The previous prime is 12128412073. The next prime is 12128412097. The reversal of 12128412088 is 88021482121.

12128412088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92143 + ... + 180961.

Almost surely, 212128412088 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 12128412088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12434355900).

12128412088 is an abundant number, since it is smaller than the sum of its proper divisors (12740299712).

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

12128412088 is a wasteful number, since it uses less digits than its factorization.

12128412088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88952 (or 88935 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 37.

The spelling of 12128412088 in words is "twelve billion, one hundred twenty-eight million, four hundred twelve thousand, eighty-eight".

Divisors: 1 2 4 8 13 26 52 101 104 169 202 338 404 676 808 1313 1352 2626 5252 10504 17069 34138 68276 88819 136552 177638 355276 710552 1154647 2309294 4618588 8970719 9237176 15010411 17941438 30020822 35882876 60041644 71765752 116619347 120083288 233238694 466477388 932954776 1516051511 3032103022 6064206044 12128412088