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222001221122001 = 357974941154313
BaseRepresentation
bin110010011110100010101111…
…111011001011011111010001
31002010001002221210200211200000
4302132202233323023133101
5213044232000101401001
62104053541505320213
764522026133244106
oct6236425773133721
91063032853624600
10222001221122001
1164811209844202
1220a953a7936069
1396b4818ab5479
143cb6cb899caad
151a9eb64211a86
hexc9e8afecb7d1

222001221122001 has 48 divisors (see below), whose sum is σ = 336761145826560. Its totient is φ = 146124489214080.

The previous prime is 222001221121973. The next prime is 222001221122027. The reversal of 222001221122001 is 100221122100222.

It is a happy number.

222001221122001 is a `hidden beast` number, since 2 + 220 + 0 + 1 + 221 + 1 + 220 + 0 + 1 = 666.

It is not a de Polignac number, because 222001221122001 - 29 = 222001221121489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (222001221122101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1438565221 + ... + 1438719533.

It is an arithmetic number, because the mean of its divisors is an integer number (7015857204720).

Almost surely, 2222001221122001 is an apocalyptic number.

It is an amenable number.

222001221122001 is a deficient number, since it is larger than the sum of its proper divisors (114759924704559).

222001221122001 is an equidigital number, since it uses as much as digits as its factorization.

222001221122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229348 (or 229336 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 222001221122001 its reverse (100221122100222), we get a palindrome (322222343222223).

The spelling of 222001221122001 in words is "two hundred twenty-two trillion, one billion, two hundred twenty-one million, one hundred twenty-two thousand, one".

Divisors: 1 3 9 27 79 81 237 243 711 2133 6399 19197 74941 154313 224823 462939 674469 1388817 2023407 4166451 5920339 6070221 12190727 12499353 17761017 18210663 36572181 37498059 53283051 109716543 159849153 329149629 479547459 987448887 1438642377 2962346661 11564370533 34693111599 104079334797 312238004391 913585272107 936714013173 2740755816321 2810142039519 8222267448963 24666802346889 74000407040667 222001221122001