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12122001 = 334353197
BaseRepresentation
bin101110001111…
…011110010001
3211210212021000
4232033132101
511100401001
61111452213
7205015053
oct56173621
924725230
1012122001
11692a491
124087069
1326856a8
1418778d3
1510e6a86
hexb8f791

12122001 has 32 divisors (see below), whose sum is σ = 18817920. Its totient is φ = 7705152.

The previous prime is 12121987. The next prime is 12122009. The reversal of 12122001 is 10022121.

12122001 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12122001 - 27 = 12121873 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (12122009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61435 + ... + 61631.

It is an arithmetic number, because the mean of its divisors is an integer number (588060).

Almost surely, 212122001 is an apocalyptic number.

It is an amenable number.

12122001 is a deficient number, since it is larger than the sum of its proper divisors (6695919).

12122001 is a wasteful number, since it uses less digits than its factorization.

12122001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 12122001 is about 3481.6664113611. Note that the first 3 decimals coincide. The cubic root of 12122001 is about 229.7161021441.

Adding to 12122001 its reverse (10022121), we get a palindrome (22144122).

It can be divided in two parts, 1212200 and 1, that added together give a square (1212201 = 11012).

The spelling of 12122001 in words is "twelve million, one hundred twenty-two thousand, one".

Divisors: 1 3 9 27 43 53 129 159 197 387 477 591 1161 1431 1773 2279 5319 6837 8471 10441 20511 25413 31323 61533 76239 93969 228717 281907 448963 1346889 4040667 12122001