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12056112 = 2432292887
BaseRepresentation
bin101101111111…
…011000110000
3211200111212200
4231333120300
511041243422
61110223200
7204322005
oct55773060
924614780
1012056112
116894a32
124054b00
1326616c3
14185b8ac
1510d22ac
hexb7f630

12056112 has 60 divisors (see below), whose sum is σ = 34915920. Its totient is φ = 3878784.

The previous prime is 12056087. The next prime is 12056113. The reversal of 12056112 is 21165021.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12056113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2733 + ... + 5619.

It is an arithmetic number, because the mean of its divisors is an integer number (581932).

Almost surely, 212056112 is an apocalyptic number.

12056112 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 12056112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17457960).

12056112 is an abundant number, since it is smaller than the sum of its proper divisors (22859808).

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

12056112 is a wasteful number, since it uses less digits than its factorization.

12056112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2930 (or 2921 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 12056112 is about 3472.1912389729. The cubic root of 12056112 is about 229.2991393343.

The spelling of 12056112 in words is "twelve million, fifty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 2088 2887 4176 5774 8661 11548 17322 23096 25983 34644 46192 51966 69288 83723 103932 138576 167446 207864 251169 334892 415728 502338 669784 753507 1004676 1339568 1507014 2009352 3014028 4018704 6028056 12056112