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12040512 = 263115701
BaseRepresentation
bin101101111011…
…100101000000
3211122201110220
4231323211000
511040244022
61110023040
7204225351
oct55734500
924581426
1012040512
116884240
124047a80
132657583
141855d28
1510cc85c
hexb7b940

12040512 has 56 divisors (see below), whose sum is σ = 34759392. Its totient is φ = 3648000.

The previous prime is 12040463. The next prime is 12040517. The reversal of 12040512 is 21504021.

12040512 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 junction number, because it is equal to n+sod(n) for n = 12040491 and 12040500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12040517) 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, 739 + ... + 4962.

Almost surely, 212040512 is an apocalyptic number.

12040512 is a gapful number since it is divisible by the number (12) 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 12040512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17379696).

12040512 is an abundant number, since it is smaller than the sum of its proper divisors (22718880).

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

12040512 is a wasteful number, since it uses less digits than its factorization.

12040512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5727 (or 5717 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 12040512 is about 3469.9440917686. The cubic root of 12040512 is about 229.2001961446.

Adding to 12040512 its reverse (21504021), we get a palindrome (33544533).

The spelling of 12040512 in words is "twelve million, forty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 5701 11402 17103 22804 34206 45608 62711 68412 91216 125422 136824 182432 188133 250844 273648 364864 376266 501688 547296 752532 1003376 1094592 1505064 2006752 3010128 4013504 6020256 12040512