Search a number
-
+
12252312 = 2332379449
BaseRepresentation
bin101110101111…
…010010011000
3212001111000100
4232233102120
511114033222
61114335400
7206100012
oct56572230
925044010
1012252312
116a09386
12412a560
1326ccab7
1418ad1b2
1511204ac
hexbaf498

12252312 has 48 divisors (see below), whose sum is σ = 33345000. Its totient is φ = 4064256.

The previous prime is 12252301. The next prime is 12252319. The reversal of 12252312 is 21325221.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12252319) 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 11 ways as a sum of consecutive naturals, for example, 27064 + ... + 27512.

Almost surely, 212252312 is an apocalyptic number.

12252312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12252312 is an abundant number, since it is smaller than the sum of its proper divisors (21092688).

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

12252312 is a wasteful number, since it uses less digits than its factorization.

12252312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 833 counting only the distinct ones).

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

The square root of 12252312 is about 3500.3302701317. The cubic root of 12252312 is about 230.5363161787.

Adding to 12252312 its reverse (21325221), we get a palindrome (33577533).

The spelling of 12252312 in words is "twelve million, two hundred fifty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 379 449 758 898 1137 1347 1516 1796 2274 2694 3032 3411 3592 4041 4548 5388 6822 8082 9096 10776 13644 16164 27288 32328 170171 340342 510513 680684 1021026 1361368 1531539 2042052 3063078 4084104 6126156 12252312