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212112101200 = 245219241115807
BaseRepresentation
bin1100010110001011011…
…1011100111101010000
3202021111110100011210011
43011202313130331100
511433401144214300
6241235402244304
721216223053256
oct3054267347520
9667443304704
10212112101200
1181a5782a09a
1235137ab6694
131700477356c
14a3a29605d6
1557b6989eba
hex3162ddcf50

212112101200 has 120 divisors (see below), whose sum is σ = 538650801920. Its totient is φ = 80045107200.

The previous prime is 212112101189. The next prime is 212112101207. The reversal of 212112101200 is 2101211212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212112101207) 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, 1773697 + ... + 1889503.

Almost surely, 2212112101200 is an apocalyptic number.

212112101200 is a gapful number since it is divisible by the number (20) 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 212112101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269325400960).

212112101200 is an abundant number, since it is smaller than the sum of its proper divisors (326538700720).

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

212112101200 is a wasteful number, since it uses less digits than its factorization.

212112101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116085 (or 116074 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 212112101200 its reverse (2101211212), we get a palindrome (214213312412).

The spelling of 212112101200 in words is "two hundred twelve billion, one hundred twelve million, one hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 152 190 200 241 304 380 400 475 482 760 950 964 1205 1520 1900 1928 2410 3800 3856 4579 4820 6025 7600 9158 9640 12050 18316 19280 22895 24100 36632 45790 48200 73264 91580 96400 114475 115807 183160 228950 231614 366320 457900 463228 579035 915800 926456 1158070 1831600 1852912 2200333 2316140 2895175 4400666 4632280 5790350 8801332 9264560 11001665 11580700 17602664 22003330 23161400 27909487 35205328 44006660 46322800 55008325 55818974 88013320 110016650 111637948 139547435 176026640 220033300 223275896 279094870 440066600 446551792 530280253 558189740 697737175 880133200 1060560506 1116379480 1395474350 2121121012 2232758960 2651401265 2790948700 4242242024 5302802530 5581897400 8484484048 10605605060 11163794800 13257006325 21211210120 26514012650 42422420240 53028025300 106056050600 212112101200