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12391128 = 23321131523
BaseRepresentation
bin101111010001…
…001011011000
3212022112102200
4233101023120
511133004003
61121330200
7210215511
oct57211330
925275380
1012391128
116aa3702
124196960
13274b039
141907a08
15114b6a3
hexbd12d8

12391128 has 48 divisors (see below), whose sum is σ = 33878520. Its totient is φ = 4091136.

The previous prime is 12391111. The next prime is 12391163. The reversal of 12391128 is 82119321.

12391128 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×123911282 = 307080106224768, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7375 + ... + 8897.

Almost surely, 212391128 is an apocalyptic number.

12391128 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 12391128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16939260).

12391128 is an abundant number, since it is smaller than the sum of its proper divisors (21487392).

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

12391128 is a wasteful number, since it uses less digits than its factorization.

12391128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1648 (or 1641 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 12391128 is about 3520.1034075720. The cubic root of 12391128 is about 231.4036905775.

The spelling of 12391128 in words is "twelve million, three hundred ninety-one thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 113 226 339 452 678 904 1017 1356 1523 2034 2712 3046 4068 4569 6092 8136 9138 12184 13707 18276 27414 36552 54828 109656 172099 344198 516297 688396 1032594 1376792 1548891 2065188 3097782 4130376 6195564 12391128