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2012122201122 = 2331129717113989
BaseRepresentation
bin11101010001111011110…
…101000011110000100010
321010100122020220110202000
4131101323311003300202
5230431311240413442
64140204533504430
7265241156341215
oct35217365036042
97110566813660
102012122201122
11706377587a20
12285b677a2116
13117985b13947
146d55c7db77c
153751733ad4c
hex1d47bd43c22

2012122201122 has 64 divisors (see below), whose sum is σ = 4878078940800. Its totient is φ = 609708133440.

The previous prime is 2012122201121. The next prime is 2012122201151. The reversal of 2012122201122 is 2211022212102.

It is a happy number.

2012122201122 is a `hidden beast` number, since 201 + 212 + 220 + 11 + 22 = 666.

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 = 2012122201095 and 2012122201104.

It is not an unprimeable number, because it can be changed into a prime (2012122201121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17594904 + ... + 17708892.

It is an arithmetic number, because the mean of its divisors is an integer number (76219983450).

Almost surely, 22012122201122 is an apocalyptic number.

2012122201122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2012122201122 is an abundant number, since it is smaller than the sum of its proper divisors (2865956739678).

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

2012122201122 is a wasteful number, since it uses less digits than its factorization.

2012122201122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143728 (or 143722 counting only the distinct ones).

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

Adding to 2012122201122 its reverse (2211022212102), we get a palindrome (4223144413224).

The spelling of 2012122201122 in words is "two trillion, twelve billion, one hundred twenty-two million, two hundred one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 29717 59434 89151 113989 178302 227978 267453 326887 341967 534906 653774 683934 802359 980661 1025901 1253879 1604718 1961322 2051802 2507758 2941983 3077703 3761637 5883966 6155406 7523274 8825949 11284911 17651898 22569822 33854733 67709466 3387411113 6774822226 10162233339 20324466678 30486700017 37261522243 60973400034 74523044486 91460100051 111784566729 182920200102 223569133458 335353700187 670707400374 1006061100561 2012122201122