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212002122112 = 27111011490789
BaseRepresentation
bin1100010101110001001…
…1111010100110000000
3202021012210101122211121
43011130103322212000
511433140020401422
6241220433122024
721213416206444
oct3053423724600
9667183348747
10212002122112
1181a00742190
12351070b9314
1316cb7a47891
14a3920d2824
1557abeb38c7
hex315c4fa980

212002122112 has 64 divisors (see below), whose sum is σ = 465305374800. Its totient is φ = 95410432000.

The previous prime is 212002122109. The next prime is 212002122161. The reversal of 212002122112 is 211221200212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

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

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 7 ways as a sum of consecutive naturals, for example, 603187 + ... + 887602.

Almost surely, 2212002122112 is an apocalyptic number.

212002122112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

212002122112 is an abundant number, since it is smaller than the sum of its proper divisors (253303252688).

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

212002122112 is a wasteful number, since it uses less digits than its factorization.

212002122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490915 (or 1490903 counting only the distinct ones).

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

Adding to 212002122112 its reverse (211221200212), we get a palindrome (423223322324).

It can be divided in two parts, 21200212 and 2112, that multiplied together give a palindrome (44774847744).

The spelling of 212002122112 in words is "two hundred twelve billion, two million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 101 128 176 202 352 404 704 808 1111 1408 1616 2222 3232 4444 6464 8888 12928 17776 35552 71104 142208 1490789 2981578 5963156 11926312 16398679 23852624 32797358 47705248 65594716 95410496 131189432 150569689 190820992 262378864 301139378 524757728 602278756 1049515456 1204557512 1656266579 2099030912 2409115024 3312533158 4818230048 6625066316 9636460096 13250132632 19272920192 26500265264 53000530528 106001061056 212002122112