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212022120112 = 241110111927437
BaseRepresentation
bin1100010101110110000…
…0001100111010110000
3202021021012000122221021
43011131200030322300
511433210130320422
6241222425505224
721214051166605
oct3053540147260
9667235018837
10212022120112
1181a10a60a60
1235111942214
1316cbbc2a10a
14a394a1a6ac
1557adb13dc7
hex315d80ceb0

212022120112 has 40 divisors (see below), whose sum is σ = 452574707472. Its totient is φ = 95419488000.

The previous prime is 212022120077. The next prime is 212022120119. The reversal of 212022120112 is 211021220212.

It is a happy number.

It is a super-3 number, since 3×2120221201123 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (212022120119) 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 7 ways as a sum of consecutive naturals, for example, 5945943 + ... + 5981494.

Almost surely, 2212022120112 is an apocalyptic number.

212022120112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

212022120112 is an abundant number, since it is smaller than the sum of its proper divisors (240552587360).

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

212022120112 is a wasteful number, since it uses less digits than its factorization.

212022120112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11927557 (or 11927551 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 212022120112 its reverse (211021220212), we get a palindrome (423043340324).

The spelling of 212022120112 in words is "two hundred twelve billion, twenty-two million, one hundred twenty thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 88 101 176 202 404 808 1111 1616 2222 4444 8888 17776 11927437 23854874 47709748 95419496 131201807 190838992 262403614 524807228 1049614456 1204671137 2099228912 2409342274 4818684548 9637369096 13251382507 19274738192 26502765014 53005530028 106011060056 212022120112