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12144212300 = 22521141674019
BaseRepresentation
bin10110100111101100…
…11111100101001100
31011100100110220102202
423103312133211030
5144332404243200
65325020341032
7606642046523
oct132366374514
934310426382
1012144212300
1151721004a0
12242b0a4778
1311b6cb824c
14832c3b4ba
154b125a1d5
hex2d3d9f94c

12144212300 has 144 divisors (see below), whose sum is σ = 29896836480. Its totient is φ = 4243008000.

The previous prime is 12144212291. The next prime is 12144212303. The reversal of 12144212300 is 321244121.

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

It is not an unprimeable number, because it can be changed into a prime (12144212303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3019691 + ... + 3023709.

It is an arithmetic number, because the mean of its divisors is an integer number (207616920).

Almost surely, 212144212300 is an apocalyptic number.

12144212300 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 12144212300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14948418240).

12144212300 is an abundant number, since it is smaller than the sum of its proper divisors (17752624180).

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

12144212300 is a wasteful number, since it uses less digits than its factorization.

12144212300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4152 (or 4145 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 12144212300 its reverse (321244121), we get a palindrome (12465456421).

The spelling of 12144212300 in words is "twelve billion, one hundred forty-four million, two hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 41 44 50 55 67 82 100 110 134 164 205 220 268 275 335 410 451 550 670 737 820 902 1025 1100 1340 1474 1675 1804 2050 2255 2747 2948 3350 3685 4019 4100 4510 5494 6700 7370 8038 9020 10988 11275 13735 14740 16076 18425 20095 22550 27470 30217 36850 40190 44209 45100 54940 60434 68675 73700 80380 88418 100475 120868 137350 151085 164779 176836 200950 221045 269273 274700 302170 329558 401900 442090 538546 604340 659116 755425 823895 884180 1077092 1105225 1346365 1510850 1647790 1812569 2210450 2692730 2962003 3021700 3295580 3625138 4119475 4420900 5385460 5924006 6731825 7250276 8238950 9062845 11040193 11848012 13463650 14810015 16477900 18125690 22080386 26927300 29620030 36251380 44160772 45314225 55200965 59240060 74050075 90628450 110401930 121442123 148100150 181256900 220803860 242884246 276004825 296200300 485768492 552009650 607210615 1104019300 1214421230 2428842460 3036053075 6072106150 12144212300