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221201110012122 = 23237332133798817
BaseRepresentation
bin110010010010111001100101…
…100101100001000011011010
31002000012121201200111010120200
4302102321211211201003122
5212443124333130341442
62102242215335403030
764410152500105422
oct6222714545410332
91060177650433520
10221201110012122
116453295599aa69
1220986310223476
139657237b05506
143c8a295993482
151a88e362c334c
hexc92e659610da

221201110012122 has 24 divisors (see below), whose sum is σ = 492222289848276. Its totient is φ = 71740900544256.

The previous prime is 221201110012073. The next prime is 221201110012139. The reversal of 221201110012122 is 221210011102122.

221201110012122 is a `hidden beast` number, since 221 + 201 + 1 + 100 + 121 + 22 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 217048648270041 + 4152461742081 = 14732571^2 + 2037759^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 221201110012095 and 221201110012104.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 166066898743 + ... + 166066900074.

Almost surely, 2221201110012122 is an apocalyptic number.

221201110012122 is an abundant number, since it is smaller than the sum of its proper divisors (271021179836154).

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

221201110012122 is a wasteful number, since it uses less digits than its factorization.

221201110012122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332133798862 (or 332133798859 counting only the distinct ones).

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

Adding to 221201110012122 its reverse (221210011102122), we get a palindrome (442411121114244).

The spelling of 221201110012122 in words is "two hundred twenty-one trillion, two hundred one billion, one hundred ten million, twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 332133798817 664267597634 996401396451 1992802792902 2989204189353 5978408378706 12288950556229 24577901112458 36866851668687 73733703337374 110600555006061 221201110012122