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12144453200 = 24521117162359
BaseRepresentation
bin10110100111101110…
…11010011001010000
31011100100221010212222
423103313122121100
5144332440000300
65325025440212
7606644102045
oct132367323120
934310833788
1012144453200
115172255490
12242b1a0068
1311b7070aa9
14832ca11cc
154b12a6785
hex2d3dda650

12144453200 has 120 divisors (see below), whose sum is σ = 33702039360. Its totient is φ = 4156364800.

The previous prime is 12144453173. The next prime is 12144453203. The reversal of 12144453200 is 235444121.

It is a self number, because there is not a number n which added to its sum of digits gives 12144453200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12144453203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6380 + ... + 155979.

It is an arithmetic number, because the mean of its divisors is an integer number (280850328).

Almost surely, 212144453200 is an apocalyptic number.

12144453200 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 12144453200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16851019680).

12144453200 is an abundant number, since it is smaller than the sum of its proper divisors (21557586160).

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

12144453200 is a wasteful number, since it uses less digits than its factorization.

12144453200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162405 (or 162394 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 12144453200 its reverse (235444121), we get a palindrome (12379897321).

The spelling of 12144453200 in words is "twelve billion, one hundred forty-four million, four hundred fifty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 25 34 40 44 50 55 68 80 85 88 100 110 136 170 176 187 200 220 272 275 340 374 400 425 440 550 680 748 850 880 935 1100 1360 1496 1700 1870 2200 2992 3400 3740 4400 4675 6800 7480 9350 14960 18700 37400 74800 162359 324718 649436 811795 1298872 1623590 1785949 2597744 2760103 3247180 3571898 4058975 5520206 6494360 7143796 8117950 8929745 11040412 12988720 13800515 14287592 16235900 17859490 22080824 27601030 28575184 30361133 32471800 35718980 44161648 44648725 55202060 60722266 64943600 69002575 71437960 89297450 110404120 121444532 138005150 142875920 151805665 178594900 220808240 242889064 276010300 303611330 357189800 485778128 552020600 607222660 714379600 759028325 1104041200 1214445320 1518056650 2428890640 3036113300 6072226600 12144453200