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12202112 = 27137333
BaseRepresentation
bin101110100011…
…000010000000
3211221221011002
4232203002000
511110431422
61113311132
7205500446
oct56430200
924857132
1012202112
11698469a
1241054a8
1326b2cb0
141898b96
151110692
hexba3080

12202112 has 32 divisors (see below), whose sum is σ = 26182380. Its totient is φ = 5630976.

The previous prime is 12202097. The next prime is 12202117. The reversal of 12202112 is 21120221.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 8904256 + 3297856 = 2984^2 + 1816^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 12202093 and 12202102.

It is not an unprimeable number, because it can be changed into a prime (12202117) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2003 + ... + 5330.

Almost surely, 212202112 is an apocalyptic number.

It is an amenable number.

12202112 is an abundant number, since it is smaller than the sum of its proper divisors (13980268).

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

12202112 is an equidigital number, since it uses as much as digits as its factorization.

12202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7360 (or 7348 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 12202112 is about 3493.1521581517. The cubic root of 12202112 is about 230.2210351493.

Adding to 12202112 its reverse (21120221), we get a palindrome (33322333).

The spelling of 12202112 in words is "twelve million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 7333 14666 29332 58664 95329 117328 190658 234656 381316 469312 762632 938624 1525264 3050528 6101056 12202112