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12041220000300 = 22352432273410659
BaseRepresentation
bin1010111100111001000010…
…1001000000101000101100
31120122010111022210002002020
42233032100221000220230
53034240404310002200
641335354325430140
72351643441151341
oct257162051005054
946563438702066
1012041220000300
11392271a85a157
12142580426b350
13694636449bca
142d8b262047c8
1515d346a93ea0
hexaf390a40a2c

12041220000300 has 144 divisors (see below), whose sum is σ = 35665249361280. Its totient is φ = 3134930319360.

The previous prime is 12041220000281. The next prime is 12041220000361. The reversal of 12041220000300 is 300002214021.

It is a super-3 number, since 3×120412200003003 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12041220000300.

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, 29116371 + ... + 29527029.

Almost surely, 212041220000300 is an apocalyptic number.

12041220000300 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 12041220000300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17832624680640).

12041220000300 is an abundant number, since it is smaller than the sum of its proper divisors (23624029360980).

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

12041220000300 is a wasteful number, since it uses less digits than its factorization.

12041220000300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412992 (or 412985 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 12041220000300 its reverse (300002214021), we get a palindrome (12341222214321).

The spelling of 12041220000300 in words is "twelve trillion, forty-one billion, two hundred twenty million, three hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 43 50 60 75 86 100 129 150 172 215 258 300 430 516 645 860 1075 1290 2150 2273 2580 3225 4300 4546 6450 6819 9092 11365 12900 13638 22730 27276 34095 45460 56825 68190 97739 113650 136380 170475 195478 227300 293217 340950 390956 410659 488695 586434 681900 821318 977390 1172868 1231977 1466085 1642636 1954780 2053295 2443475 2463954 2932170 4106590 4886950 4927908 5864340 6159885 7330425 8213180 9773900 10266475 12319770 14660850 17658337 20532950 24639540 29321700 30799425 35316674 41065900 52975011 61598850 70633348 88291685 105950022 123197700 176583370 211900044 264875055 353166740 441458425 529750110 882916850 933427907 1059500220 1324375275 1765833700 1866855814 2648750550 2800283721 3733711628 4667139535 5297501100 5600567442 9334279070 11201134884 14001418605 18668558140 23335697675 28002837210 40137400001 46671395350 56005674420 70007093025 80274800002 93342790700 120412200003 140014186050 160549600004 200687000005 240824400006 280028372100 401374000010 481648800012 602061000015 802748000020 1003435000025 1204122000030 2006870000050 2408244000060 3010305000075 4013740000100 6020610000150 12041220000300