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12101112 = 2332168071
BaseRepresentation
bin101110001010…
…010111111000
3211202210121100
4232022113320
511044213422
61111211400
7204600132
oct56122770
924683540
1012101112
116915821
124076b60
13267902a
141870052
1510e07ac
hexb8a5f8

12101112 has 24 divisors (see below), whose sum is σ = 32774040. Its totient is φ = 4033680.

The previous prime is 12101099. The next prime is 12101123. The reversal of 12101112 is 21110121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 12101094 and 12101103.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 83964 + ... + 84107.

It is an arithmetic number, because the mean of its divisors is an integer number (1365585).

Almost surely, 212101112 is an apocalyptic number.

12101112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12101112 is an abundant number, since it is smaller than the sum of its proper divisors (20672928).

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

12101112 is a wasteful number, since it uses less digits than its factorization.

12101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168083 (or 168076 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 12101112 is about 3478.6652612748. The cubic root of 12101112 is about 229.5840750244.

Adding to 12101112 its reverse (21110121), we get a palindrome (33211233).

Subtracting 12101112 from its reverse (21110121), we obtain a palindrome (9009009).

It can be divided in two parts, 12 and 101112, that added together give a square (101124 = 3182).

The spelling of 12101112 in words is "twelve million, one hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 168071 336142 504213 672284 1008426 1344568 1512639 2016852 3025278 4033704 6050556 12101112