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212110120201122 = 2321113163015055203
BaseRepresentation
bin110000001110100110111100…
…010111100010101110100010
31000211000112021222021222200100
4300032212330113202232202
5210300203011232413442
62031042013301403230
762451310340520213
oct6016467427425642
91024015258258610
10212110120201122
1161648440177130
121b958442109516
139147b8b042c90
143a5428275540a
15197c70e8ec84c
hexc0e9bc5e2ba2

212110120201122 has 96 divisors (see below), whose sum is σ = 539949898103616. Its totient is φ = 59327850672000.

The previous prime is 212110120201093. The next prime is 212110120201127. The reversal of 212110120201122 is 221102021011212.

212110120201122 is a `hidden beast` number, since 212 + 1 + 10 + 120 + 201 + 122 = 666.

212110120201122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 212110120201095 and 212110120201104.

It is not an unprimeable number, because it can be changed into a prime (212110120201127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39431173 + ... + 44486375.

It is an arithmetic number, because the mean of its divisors is an integer number (5624478105246).

Almost surely, 2212110120201122 is an apocalyptic number.

212110120201122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

212110120201122 is an abundant number, since it is smaller than the sum of its proper divisors (327839777902494).

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

212110120201122 is a wasteful number, since it uses less digits than its factorization.

212110120201122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5071536 (or 5071533 counting only the distinct ones).

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

Adding to 212110120201122 its reverse (221102021011212), we get a palindrome (433212141212334).

The spelling of 212110120201122 in words is "two hundred twelve trillion, one hundred ten billion, one hundred twenty million, two hundred one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 143 198 234 286 429 858 1287 2574 16301 32602 48903 97806 146709 179311 211913 293418 358622 423826 537933 635739 1075866 1271478 1613799 1907217 2331043 3227598 3814434 4662086 5055203 6993129 10110406 13986258 15165609 20979387 30331218 41958774 45496827 55607233 65717639 90993654 111214466 131435278 166821699 197152917 333643398 394305834 500465097 591458751 722894029 1000930194 1182917502 1445788058 2168682087 4337364174 6506046261 13012092522 82404864103 164809728206 247214592309 494429184618 741643776927 906453505133 1071263233339 1483287553854 1812907010266 2142526466678 2719360515399 3213789700017 5438721030798 6427579400034 8158081546197 9641369100051 11783895566729 16316163092394 19282738200102 23567791133458 35351686700187 70703373400374 106055060100561 212110120201122