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212241222142212 = 223591911569506479
BaseRepresentation
bin110000010000100001000010…
…101001110000100100000100
31000211111001200200201122022010
4300100201002221300210010
5210304330010332022322
62031222134343134220
762463631224603624
oct6020410251604404
91024431620648263
10212241222142212
1161698aa686697a
121b97992ba44370
1391573522c7b53
143a5a75c306884
151980d3437c20c
hexc10842a70904

212241222142212 has 48 divisors (see below), whose sum is σ = 506260010188800. Its totient is φ = 69183845550240.

The previous prime is 212241222142189. The next prime is 212241222142237.

212241222142212 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 212241222142212.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 784618012 + ... + 784888467.

It is an arithmetic number, because the mean of its divisors is an integer number (10547083545600).

Almost surely, 2212241222142212 is an apocalyptic number.

It is an amenable number.

212241222142212 is an abundant number, since it is smaller than the sum of its proper divisors (294018788046588).

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

212241222142212 is a wasteful number, since it uses less digits than its factorization.

212241222142212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1569506736 (or 1569506734 counting only the distinct ones).

The product of its digits is 8192, while the sum is 30.

The spelling of 212241222142212 in words is "two hundred twelve trillion, two hundred forty-one billion, two hundred twenty-two million, one hundred forty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 59 118 177 191 236 354 382 573 708 764 1146 2292 11269 22538 33807 45076 67614 135228 1569506479 3139012958 4708519437 6278025916 9417038874 18834077748 92600882261 185201764522 277802646783 299775737489 370403529044 555605293566 599551474978 899327212467 1111210587132 1199102949956 1798654424934 3597308849868 17686768511851 35373537023702 53060305535553 70747074047404 106120611071106 212241222142212