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2122202220012 = 223273171866069
BaseRepresentation
bin11110111000011101000…
…111000000010111101100
321111212202220212211101200
4132320131013000113230
5234232232232020022
64302532022405500
7306216102144000
oct36703507002754
97455686784350
102122202220012
11749025911446
122a3369290890
13125179a796b4
1474a02490700
153a30b48cbac
hex1ee1d1c05ec

2122202220012 has 72 divisors (see below), whose sum is σ = 6255924948000. Its totient is φ = 606343487904.

The previous prime is 2122202220011. The next prime is 2122202220029. The reversal of 2122202220012 is 2100222022212.

2122202220012 is a `hidden beast` number, since 212 + 220 + 2 + 220 + 0 + 12 = 666.

It is a super-2 number, since 2×21222022200122 (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2122202220011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85920687 + ... + 85945382.

It is an arithmetic number, because the mean of its divisors is an integer number (86887846500).

Almost surely, 22122202220012 is an apocalyptic number.

It is an amenable number.

2122202220012 is an abundant number, since it is smaller than the sum of its proper divisors (4133722727988).

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

2122202220012 is a wasteful number, since it uses less digits than its factorization.

2122202220012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171866100 (or 171866081 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2122202220012 its reverse (2100222022212), we get a palindrome (4222424242224).

It can be divided in two parts, 21222022200 and 12, that added together give a palindrome (21222022212).

The spelling of 2122202220012 in words is "two trillion, one hundred twenty-two billion, two hundred two million, two hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 343 441 588 686 882 1029 1372 1764 2058 3087 4116 6174 12348 171866069 343732138 515598207 687464276 1031196414 1203062483 1546794621 2062392828 2406124966 3093589242 3609187449 4812249932 6187178484 7218374898 8421437381 10827562347 14436749796 16842874762 21655124694 25264312143 33685749524 43310249388 50528624286 58950061667 75792936429 101057248572 117900123334 151585872858 176850185001 235800246668 303171745716 353700370002 530550555003 707400740004 1061101110006 2122202220012