Search a number
-
+
12252321 = 3219137523
BaseRepresentation
bin101110101111…
…010010100001
3212001111000200
4232233102201
511114033241
61114335413
7206100024
oct56572241
925044020
1012252321
116a09394
12412a569
1326ccac3
1418ad1bb
1511204b6
hexbaf4a1

12252321 has 24 divisors (see below), whose sum is σ = 18801120. Its totient is φ = 7667136.

The previous prime is 12252319. The next prime is 12252323. The reversal of 12252321 is 12325221.

12252321 is a `hidden beast` number, since 122 + 523 + 21 = 666.

It is an interprime number because it is at equal distance from previous prime (12252319) and next prime (12252323).

It is not a de Polignac number, because 12252321 - 21 = 12252319 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12252294 and 12252303.

It is not an unprimeable number, because it can be changed into a prime (12252323) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 23166 + ... + 23688.

It is an arithmetic number, because the mean of its divisors is an integer number (783380).

Almost surely, 212252321 is an apocalyptic number.

It is an amenable number.

12252321 is a deficient number, since it is larger than the sum of its proper divisors (6548799).

12252321 is a wasteful number, since it uses less digits than its factorization.

12252321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 682 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 12252321 is about 3500.3315557244. The cubic root of 12252321 is about 230.5363726259.

Adding to 12252321 its reverse (12325221), we get a palindrome (24577542).

Subtracting 12252321 from its reverse (12325221), we obtain a square (72900 = 2702).

The spelling of 12252321 in words is "twelve million, two hundred fifty-two thousand, three hundred twenty-one".

Divisors: 1 3 9 19 57 137 171 411 523 1233 1569 2603 4707 7809 9937 23427 29811 71651 89433 214953 644859 1361369 4084107 12252321