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12122544 = 2437109331
BaseRepresentation
bin101110001111…
…100110110000
3211210220000010
4232033212300
511100410134
61111454520
7205016460
oct56174660
924726003
1012122544
11692a935
124087440
132685a05
141877ba0
1510e6ce9
hexb8f9b0

12122544 has 80 divisors (see below), whose sum is σ = 36227840. Its totient is φ = 3421440.

The previous prime is 12122543. The next prime is 12122549. The reversal of 12122544 is 44522121.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 12122544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122543) 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 15 ways as a sum of consecutive naturals, for example, 36459 + ... + 36789.

It is an arithmetic number, because the mean of its divisors is an integer number (452848).

Almost surely, 212122544 is an apocalyptic number.

12122544 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12122544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18113920).

12122544 is an abundant number, since it is smaller than the sum of its proper divisors (24105296).

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

12122544 is a wasteful number, since it uses less digits than its factorization.

12122544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 452 counting only the distinct ones).

The product of its digits is 640, while the sum is 21.

The square root of 12122544 is about 3481.7443903882. The cubic root of 12122544 is about 229.7195321053.

Adding to 12122544 its reverse (44522121), we get a palindrome (56644665).

The spelling of 12122544 in words is "twelve million, one hundred twenty-two thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 109 112 168 218 327 331 336 436 654 662 763 872 993 1308 1324 1526 1744 1986 2289 2317 2616 2648 3052 3972 4578 4634 5232 5296 6104 6951 7944 9156 9268 12208 13902 15888 18312 18536 27804 36079 36624 37072 55608 72158 108237 111216 144316 216474 252553 288632 432948 505106 577264 757659 865896 1010212 1515318 1731792 2020424 3030636 4040848 6061272 12122544