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212101211220 = 223533049106963
BaseRepresentation
bin1100010110001000110…
…1111010010001010100
3202021110200211220112120
43011202031322101110
511433340402224340
6241234333015540
721216031356123
oct3054215722124
9667420756476
10212101211220
1181a51671308
12351343245b0
131700242c8a2
14a3a1327aba
1557b5a384d0
hex316237a454

212101211220 has 48 divisors (see below), whose sum is σ = 593906913600. Its totient is φ = 56558082816.

The previous prime is 212101211209. The next prime is 212101211221. The reversal of 212101211220 is 22112101212.

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 212101211220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212101211221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1929459 + ... + 2036421.

It is an arithmetic number, because the mean of its divisors is an integer number (12373060700).

Almost surely, 2212101211220 is an apocalyptic number.

212101211220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212101211220 is an abundant number, since it is smaller than the sum of its proper divisors (381805702380).

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

212101211220 is a wasteful number, since it uses less digits than its factorization.

212101211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140024 (or 140022 counting only the distinct ones).

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

Adding to 212101211220 its reverse (22112101212), we get a palindrome (234213312432).

The spelling of 212101211220 in words is "two hundred twelve billion, one hundred one million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 33049 66098 99147 106963 132196 165245 198294 213926 320889 330490 396588 427852 495735 534815 641778 660980 991470 1069630 1283556 1604445 1982940 2139260 3208890 6417780 3535020187 7070040374 10605060561 14140080748 17675100935 21210121122 35350201870 42420242244 53025302805 70700403740 106050605610 212101211220