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12106601 = 1317291889
BaseRepresentation
bin101110001011…
…101101101001
3211210002010122
4232023231221
511044402401
61111253025
7204622133
oct56135551
924702118
1012106601
116919961
12407a175
13267b690
141872053
1510e221b
hexb8bb69

12106601 has 16 divisors (see below), whose sum is σ = 14288400. Its totient is φ = 10149888.

The previous prime is 12106583. The next prime is 12106621. The reversal of 12106601 is 10660121.

It is a happy number.

12106601 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 24025 + 12082576 = 155^2 + 3476^2 .

It is a cyclic number.

It is not a de Polignac number, because 12106601 - 26 = 12106537 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12106601.

It is not an unprimeable number, because it can be changed into a prime (12106621) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5465 + ... + 7353.

It is an arithmetic number, because the mean of its divisors is an integer number (893025).

Almost surely, 212106601 is an apocalyptic number.

It is an amenable number.

12106601 is a deficient number, since it is larger than the sum of its proper divisors (2181799).

12106601 is a wasteful number, since it uses less digits than its factorization.

12106601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1948.

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 12106601 is about 3479.4541238533. The cubic root of 12106601 is about 229.6187824821.

Adding to 12106601 its reverse (10660121), we get a palindrome (22766722).

The spelling of 12106601 in words is "twelve million, one hundred six thousand, six hundred one".

Divisors: 1 13 17 29 221 377 493 1889 6409 24557 32113 54781 417469 712153 931277 12106601