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12012440 = 23511231187
BaseRepresentation
bin101101110100…
…101110011000
3211121021222012
4231310232120
511033344230
61105245052
7204050456
oct55645630
924537865
1012012440
116865140
124033788
13264786b
1418499d6
1510c4395
hexb74b98

12012440 has 64 divisors (see below), whose sum is σ = 30792960. Its totient is φ = 4174720.

The previous prime is 12012439. The next prime is 12012443. The reversal of 12012440 is 4421021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12012443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9527 + ... + 10713.

It is an arithmetic number, because the mean of its divisors is an integer number (481140).

Almost surely, 212012440 is an apocalyptic number.

12012440 is a gapful number since it is divisible by the number (10) 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 12012440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15396480).

12012440 is an abundant number, since it is smaller than the sum of its proper divisors (18780520).

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

12012440 is a wasteful number, since it uses less digits than its factorization.

12012440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 12012440 is about 3465.8967093669. The cubic root of 12012440 is about 229.0219336619.

Adding to 12012440 its reverse (4421021), we get a palindrome (16433461).

The spelling of 12012440 in words is "twelve million, twelve thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 110 115 184 220 230 253 440 460 506 920 1012 1187 1265 2024 2374 2530 4748 5060 5935 9496 10120 11870 13057 23740 26114 27301 47480 52228 54602 65285 104456 109204 130570 136505 218408 261140 273010 300311 522280 546020 600622 1092040 1201244 1501555 2402488 3003110 6006220 12012440