Search a number
-
+
12220101212022 = 2351112717998741
BaseRepresentation
bin1011000111010011011011…
…0010101011011101110110
31121021020012212100011100000
42301310312302223131312
53100203231402241042
641553500442532130
72400605333314134
oct261646662533566
947236185304300
1012220101212022
113991574614120
121454407207046
136a8473362a52
143036555b0754
15162d15e5474c
hexb1d36cab776

12220101212022 has 96 divisors (see below), whose sum is σ = 30189505941504. Its totient is φ = 3673902808800.

The previous prime is 12220101211991. The next prime is 12220101212023. The reversal of 12220101212022 is 22021210102221.

It is a happy number.

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 = 12220101211986 and 12220101212004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12220101212023) 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, 8320429 + ... + 9678312.

It is an arithmetic number, because the mean of its divisors is an integer number (314474020224).

Almost surely, 212220101212022 is an apocalyptic number.

12220101212022 is an abundant number, since it is smaller than the sum of its proper divisors (17969404729482).

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

12220101212022 is a wasteful number, since it uses less digits than its factorization.

12220101212022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17998896 (or 17998884 counting only the distinct ones).

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

Adding to 12220101212022 its reverse (22021210102221), we get a palindrome (34241311314243).

The spelling of 12220101212022 in words is "twelve trillion, two hundred twenty billion, one hundred one million, two hundred twelve thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 127 162 198 243 254 297 381 486 594 762 891 1143 1397 1782 2286 2673 2794 3429 4191 5346 6858 8382 10287 12573 20574 25146 30861 37719 61722 75438 113157 226314 339471 678942 17998741 35997482 53996223 107992446 161988669 197986151 323977338 395972302 485966007 593958453 971932014 1187916906 1457898021 1781875359 2285840107 2915796042 3563750718 4373694063 4571680214 5345626077 6857520321 8747388126 10691252154 13715040642 16036878231 20572560963 25144241177 32073756462 41145121926 48110634693 50288482354 61717682889 75432723531 96221269386 123435365778 150865447062 185153048667 226298170593 370306097334 452596341186 555459146001 678894511779 1110918292002 1357789023558 2036683535337 4073367070674 6110050606011 12220101212022