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212101121002212 = 223413214827261251
BaseRepresentation
bin110000001110011110100011…
…111110010100101011100100
31000210222200001210201022120000
4300032132203332110223210
5210300031043434032322
62031033524305341300
762450541334553541
oct6016364376245344
91023880053638500
10212101121002212
1161644642382862
121b956750337830
1391470857b3500
143a53a6b4abbc8
15197c38482d3ac
hexc0e7a3f94ae4

212101121002212 has 180 divisors, whose sum is σ = 600449795524656. Its totient is φ = 65257232040000.

The previous prime is 212101121002187. The next prime is 212101121002229. The reversal of 212101121002212 is 212200121101212.

212101121002212 is a `hidden beast` number, since 21 + 210 + 1 + 1 + 210 + 0 + 221 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 811736587 + ... + 811997837.

Almost surely, 2212101121002212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212101121002212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300224897762328).

212101121002212 is an abundant number, since it is smaller than the sum of its proper divisors (388348674522444).

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

212101121002212 is a wasteful number, since it uses less digits than its factorization.

212101121002212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276120 (or 276096 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 212101121002212 its reverse (212200121101212), we get a palindrome (424301242103424).

The spelling of 212101121002212 in words is "two hundred twelve trillion, one hundred one billion, one hundred twenty-one million, two thousand, two hundred twelve".