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212112001220 = 22573164775539
BaseRepresentation
bin1100010110001011011…
…1000100100011000100
3202021111110011002122012
43011202313010203010
511433401133014340
6241235400153352
721216222155630
oct3054267044304
9667443132565
10212112001220
1181a57770a69
1235137a68858
1317004739bc2
14a3a2935dc0
1557b696a565
hex3162dc48c4

212112001220 has 96 divisors (see below), whose sum is σ = 526309539840. Its totient is φ = 70268469120.

The previous prime is 212112001219. The next prime is 212112001247. The reversal of 212112001220 is 22100211212.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 212112001195 and 212112001204.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2770211 + ... + 2845749.

It is an arithmetic number, because the mean of its divisors is an integer number (5482391040).

Almost surely, 2212112001220 is an apocalyptic number.

212112001220 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 212112001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263154769920).

212112001220 is an abundant number, since it is smaller than the sum of its proper divisors (314197538620).

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

212112001220 is a wasteful number, since it uses less digits than its factorization.

212112001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76233 (or 76231 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 212112001220 its reverse (22100211212), we get a palindrome (234212212432).

The spelling of 212112001220 in words is "two hundred twelve billion, one hundred twelve million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 124 140 155 217 310 434 620 647 868 1085 1294 2170 2588 3235 4340 4529 6470 9058 12940 18116 20057 22645 40114 45290 75539 80228 90580 100285 140399 151078 200570 280798 302156 377695 401140 528773 561596 701995 755390 1057546 1403990 1510780 2115092 2341709 2643865 2807980 4683418 5287730 9366836 10575460 11708545 16391963 23417090 32783926 46834180 48873733 65567852 81959815 97747466 163919630 195494932 244368665 327839260 342116131 488737330 684232262 977474660 1368464524 1515085723 1710580655 3030171446 3421161310 6060342892 6842322620 7575428615 10605600061 15150857230 21211200122 30301714460 42422400244 53028000305 106056000610 212112001220