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12111872 = 2122957
BaseRepresentation
bin101110001101…
…000000000000
3211210100100212
4232031000000
511100034442
61111333252
7204643403
oct56150000
924710325
1012111872
116922913
124081228
132680bb6
141873d3a
1510e3a82
hexb8d000

12111872 has 26 divisors (see below), whose sum is σ = 24228978. Its totient is φ = 6053888.

The previous prime is 12111859. The next prime is 12111877. The reversal of 12111872 is 27811121.

It can be written as a sum of positive squares in only one way, i.e., 8667136 + 3444736 = 2944^2 + 1856^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12111877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2618 + ... + 5574.

Almost surely, 212111872 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 12111872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12114489).

12111872 is an abundant number, since it is smaller than the sum of its proper divisors (12117106).

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

12111872 is an frugal number, since it uses more digits than its factorization.

12111872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2981 (or 2959 counting only the distinct ones).

The product of its digits is 224, while the sum is 23.

The square root of 12111872 is about 3480.2114878266. The cubic root of 12111872 is about 229.6521016329.

Adding to 12111872 its reverse (27811121), we get a palindrome (39922993).

The spelling of 12111872 in words is "twelve million, one hundred eleven thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 2957 4096 5914 11828 23656 47312 94624 189248 378496 756992 1513984 3027968 6055936 12111872