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12144420 = 22325195367
BaseRepresentation
bin101110010100…
…111100100100
3211212000000100
4232110330210
511102110140
61112144100
7205140321
oct56247444
924760010
1012144420
116945312
124098030
132692962
141881b48
1510ed530
hexb94f24

12144420 has 144 divisors (see below), whose sum is σ = 40098240. Its totient is φ = 2965248.

The previous prime is 12144413. The next prime is 12144463. The reversal of 12144420 is 2444121.

12144420 is nontrivially palindromic in base 13.

12144420 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 12144393 and 12144402.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 181227 + ... + 181293.

It is an arithmetic number, because the mean of its divisors is an integer number (278460).

Almost surely, 212144420 is an apocalyptic number.

12144420 is a gapful number since it is divisible by the number (10) 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 12144420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20049120).

12144420 is an abundant number, since it is smaller than the sum of its proper divisors (27953820).

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

12144420 is a wasteful number, since it uses less digits than its factorization.

12144420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 12144420 is about 3484.8845031077. The cubic root of 12144420 is about 229.8576308588.

Adding to 12144420 its reverse (2444121), we get a palindrome (14588541).

The spelling of 12144420 in words is "twelve million, one hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 53 57 60 67 76 90 95 106 114 134 159 171 180 190 201 212 228 265 268 285 318 335 342 380 402 477 530 570 603 636 670 684 795 804 855 954 1005 1007 1060 1140 1206 1273 1340 1590 1710 1908 2010 2014 2385 2412 2546 3015 3021 3180 3420 3551 3819 4020 4028 4770 5035 5092 6030 6042 6365 7102 7638 9063 9540 10070 10653 11457 12060 12084 12730 14204 15105 15276 17755 18126 19095 20140 21306 22914 25460 30210 31959 35510 36252 38190 42612 45315 45828 53265 57285 60420 63918 67469 71020 76380 90630 106530 114570 127836 134938 159795 181260 202407 213060 229140 269876 319590 337345 404814 607221 639180 674690 809628 1012035 1214442 1349380 2024070 2428884 3036105 4048140 6072210 12144420