Search a number
-
+
12122480 = 245151531
BaseRepresentation
bin101110001111…
…100101110000
3211210212220202
4232033211300
511100404410
61111454332
7205016336
oct56174560
924725822
1012122480
11692a887
1240873a8
132685986
141877b56
1510e6ca5
hexb8f970

12122480 has 20 divisors (see below), whose sum is σ = 28184952. Its totient is φ = 4848960.

The previous prime is 12122477. The next prime is 12122489. The reversal of 12122480 is 8422121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122489) 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 3 ways as a sum of consecutive naturals, for example, 75686 + ... + 75845.

Almost surely, 212122480 is an apocalyptic number.

12122480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122480 is an abundant number, since it is smaller than the sum of its proper divisors (16062472).

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

12122480 is a wasteful number, since it uses less digits than its factorization.

12122480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151544 (or 151538 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 12122480 is about 3481.7351995808. The cubic root of 12122480 is about 229.7191278427.

The spelling of 12122480 in words is "twelve million, one hundred twenty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 151531 303062 606124 757655 1212248 1515310 2424496 3030620 6061240 12122480