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212120011220 = 225131045378049
BaseRepresentation
bin1100010110001101010…
…1101000000111010100
3202021112000020001021212
43011203111220013110
511433410210324340
6241240244000552
721216350226455
oct3054325500724
9667460201255
10212120011220
1181a61241aa7
123513a690158
13170062b2a50
14a3a3a1d12c
1557b74eda65
hex31635681d4

212120011220 has 48 divisors (see below), whose sum is σ = 479769603600. Its totient is φ = 78312738816.

The previous prime is 212120011171. The next prime is 212120011247. The reversal of 212120011220 is 22110021212.

It can be written as a sum of positive squares in 8 ways, for example, as 1591371664 + 210528639556 = 39892^2 + 458834^2 .

It is a junction number, because it is equal to n+sod(n) for n = 212120011195 and 212120011204.

It is a congruent number.

It is an unprimeable number.

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, 2678756 + ... + 2756804.

It is an arithmetic number, because the mean of its divisors is an integer number (9995200075).

Almost surely, 2212120011220 is an apocalyptic number.

212120011220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212120011220 is an abundant number, since it is smaller than the sum of its proper divisors (267649592380).

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

212120011220 is a wasteful number, since it uses less digits than its factorization.

212120011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88524 (or 88522 counting only the distinct ones).

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

Adding to 212120011220 its reverse (22110021212), we get a palindrome (234230032432).

The spelling of 212120011220 in words is "two hundred twelve billion, one hundred twenty million, eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 10453 20906 41812 52265 78049 104530 135889 156098 209060 271778 312196 390245 543556 679445 780490 1014637 1358890 1560980 2029274 2717780 4058548 5073185 10146370 20292740 815846197 1631692394 3263384788 4079230985 8158461970 10606000561 16316923940 21212001122 42424002244 53030002805 106060005610 212120011220