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212200021111200 = 25352233844203281
BaseRepresentation
bin110000001111111010101010…
…111000010011000110100000
31000211100010100022201101222120
4300033322222320103012200
5210303141120401024300
62031151202142104240
762460642224611653
oct6017725270230640
91024303308641876
10212200021111200
1161682583968521
121b97195187b080
1391534b747ca65
143a5877041b89a
15197ec222043a0
hexc0feaae131a0

212200021111200 has 144 divisors (see below), whose sum is σ = 720741984935616. Its totient is φ = 54126382182400.

The previous prime is 212200021111189. The next prime is 212200021111201. The reversal of 212200021111200 is 2111120002212.

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 212200021111200.

It is not an unprimeable number, because it can be changed into a prime (212200021111201) 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, 1922046441 + ... + 1922156840.

It is an arithmetic number, because the mean of its divisors is an integer number (5005152673164).

Almost surely, 2212200021111200 is an apocalyptic number.

212200021111200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212200021111200 is an abundant number, since it is smaller than the sum of its proper divisors (508541963824416).

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

212200021111200 is a wasteful number, since it uses less digits than its factorization.

212200021111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3844203327 (or 3844203314 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 212200021111200 its reverse (2111120002212), we get a palindrome (214311141113412).

The spelling of 212200021111200 in words is "two hundred twelve trillion, two hundred billion, twenty-one million, one hundred eleven thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 25 30 32 40 46 48 50 60 69 75 80 92 96 100 115 120 138 150 160 184 200 230 240 276 300 345 368 400 460 480 552 575 600 690 736 800 920 1104 1150 1200 1380 1725 1840 2208 2300 2400 2760 3450 3680 4600 5520 6900 9200 11040 13800 18400 27600 55200 3844203281 7688406562 11532609843 15376813124 19221016405 23065219686 30753626248 38442032810 46130439372 57663049215 61507252496 76884065620 88416675463 92260878744 96105082025 115326098430 123014504992 153768131240 176833350926 184521757488 192210164050 230652196860 265250026389 288315246075 307536262480 353666701852 369043514976 384420328100 442083377315 461304393720 530500052778 576630492150 615072524960 707333403704 768840656200 884166754630 922608787440 1061000105556 1153260984300 1326250131945 1414666807408 1537681312400 1768333509260 1845217574880 2122000211112 2210416886575 2306521968600 2652500263890 2829333614816 3075362624800 3536667018520 4244000422224 4420833773150 4613043937200 5305000527780 6631250659725 7073334037040 8488000844448 8841667546300 9226087874400 10610001055560 13262501319450 14146668074080 17683335092600 21220002111120 26525002638900 35366670185200 42440004222240 53050005277800 70733340370400 106100010555600 212200021111200