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12031224201200 = 2452234271306191
BaseRepresentation
bin1010111100010011110011…
…0110000011111111110000
31120121011200200220212111202
42233010330312003333300
53034104421343414300
641331022413030332
72351140644234041
oct257047466037760
946534620825452
1012031224201200
113919460454366
1214238947853a8
136937025a0899
142d84588568c8
1515ce5e265ad5
hexaf13cd83ff0

12031224201200 has 120 divisors (see below), whose sum is σ = 30168916494336. Its totient is φ = 4602158176000.

The previous prime is 12031224201193. The next prime is 12031224201253. The reversal of 12031224201200 is 210242213021.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39140105 + ... + 39446295.

Almost surely, 212031224201200 is an apocalyptic number.

12031224201200 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 12031224201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15084458247168).

12031224201200 is an abundant number, since it is smaller than the sum of its proper divisors (18137692293136).

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

12031224201200 is a wasteful number, since it uses less digits than its factorization.

12031224201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310503 (or 310492 counting only the distinct ones).

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

Adding to 12031224201200 its reverse (210242213021), we get a palindrome (12241466414221).

The spelling of 12031224201200 in words is "twelve trillion, thirty-one billion, two hundred twenty-four million, two hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 184 200 230 368 400 460 575 920 1150 1840 2300 4271 4600 8542 9200 17084 21355 34168 42710 68336 85420 98233 106775 170840 196466 213550 306191 341680 392932 427100 491165 612382 785864 854200 982330 1224764 1530955 1571728 1708400 1964660 2449528 2455825 3061910 3929320 4899056 4911650 6123820 7042393 7654775 7858640 9823300 12247640 14084786 15309550 19646600 24495280 28169572 30619100 35211965 39293200 56339144 61238200 70423930 112678288 122476400 140847860 176059825 281695720 352119650 563391440 704239300 1307741761 1408478600 2615483522 2816957200 5230967044 6538708805 10461934088 13077417610 20923868176 26154835220 30078060503 32693544025 52309670440 60156121006 65387088050 104619340880 120312242012 130774176100 150390302515 240624484024 261548352200 300780605030 481248968048 523096704400 601561210060 751951512575 1203122420120 1503903025150 2406244840240 3007806050300 6015612100600 12031224201200