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12042128 = 247791361
BaseRepresentation
bin101101111011…
…111110010000
3211122210200202
4231323332100
511040322003
61110034332
7204233150
oct55737620
924583622
1012042128
11688547a
1240489a8
132658227
141856760
1510cd088
hexb7bf90

12042128 has 40 divisors (see below), whose sum is σ = 27022080. Its totient is φ = 5091840.

The previous prime is 12042127. The next prime is 12042157. The reversal of 12042128 is 82124021.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12042127) 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, 8168 + ... + 9528.

It is an arithmetic number, because the mean of its divisors is an integer number (675552).

Almost surely, 212042128 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 12042128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13511040).

12042128 is an abundant number, since it is smaller than the sum of its proper divisors (14979952).

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

12042128 is a wasteful number, since it uses less digits than its factorization.

12042128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1455 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 12042128 is about 3470.1769407337. The cubic root of 12042128 is about 229.2104496107.

Adding to 12042128 its reverse (82124021), we get a palindrome (94166149).

The spelling of 12042128 in words is "twelve million, forty-two thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 79 112 158 316 553 632 1106 1264 1361 2212 2722 4424 5444 8848 9527 10888 19054 21776 38108 76216 107519 152432 215038 430076 752633 860152 1505266 1720304 3010532 6021064 12042128