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212321242123212 = 223371923732485801
BaseRepresentation
bin110000010001101011100100…
…001101110000101111001100
31000211202201020102102212002010
4300101223210031300233030
5210312132400440420322
62031323010533101220
762502463211325105
oct6021534415605714
91024681212385063
10212321242123212
1161719a29a7aa82
121b991342487810
139161a65607531
143a6058d9a33ac
151982e6949620c
hexc11ae4370bcc

212321242123212 has 48 divisors (see below), whose sum is σ = 508808709080672. Its totient is φ = 68860557734400.

The previous prime is 212321242123187. The next prime is 212321242123219.

It is a happy number.

212321242123212 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2123212421232122 (a number of 29 digits) contains 22 as substring.

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 212321242123212.

It is not an unprimeable number, because it can be changed into a prime (212321242123219) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84170712 + ... + 86656512.

Almost surely, 2212321242123212 is an apocalyptic number.

It is an amenable number.

212321242123212 is an abundant number, since it is smaller than the sum of its proper divisors (296487466957460).

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

212321242123212 is a wasteful number, since it uses less digits than its factorization.

212321242123212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2678218 (or 2678216 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The spelling of 212321242123212 in words is "two hundred twelve trillion, three hundred twenty-one billion, two hundred forty-two million, one hundred twenty-three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 37 74 111 148 222 444 192373 384746 577119 769492 1154238 2308476 2485801 4971602 7117801 7457403 9943204 14235602 14914806 21353403 28471204 29829612 42706806 85413612 91974637 183949274 275923911 367898548 551847822 1103695644 478200995773 956401991546 1434602987319 1912803983092 2869205974638 5738411949276 17693436843601 35386873687202 53080310530803 70773747374404 106160621061606 212321242123212