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12122320 = 245721647
BaseRepresentation
bin101110001111…
…100011010000
3211210212200211
4232033203100
511100403240
61111453504
7205016020
oct56174320
924725624
1012122320
11692a751
124087294
132685892
141877a80
1510e6bea
hexb8f8d0

12122320 has 40 divisors (see below), whose sum is σ = 32212224. Its totient is φ = 4156032.

The previous prime is 12122293. The next prime is 12122339. The reversal of 12122320 is 2322121.

12122320 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

12122320 is strictly pandigital in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 12122320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10264 + ... + 11383.

Almost surely, 212122320 is an apocalyptic number.

12122320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122320 is an abundant number, since it is smaller than the sum of its proper divisors (20089904).

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

12122320 is a wasteful number, since it uses less digits than its factorization.

12122320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21667 (or 21661 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 12122320 is about 3481.7122224561. The cubic root of 12122320 is about 229.7181171798.

Adding to 12122320 its reverse (2322121), we get a palindrome (14444441).

The spelling of 12122320 in words is "twelve million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 21647 43294 86588 108235 151529 173176 216470 303058 346352 432940 606116 757645 865880 1212232 1515290 1731760 2424464 3030580 6061160 12122320