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12220122110022 = 23773137279353
BaseRepresentation
bin1011000111010011100000…
…0010011001100001000110
31121021020021022122220000000
42301310320002121201012
53100203302230010042
641553502510502130
72400606006043221
oct261647002314106
947236238586000
1012220122110022
1139915853980a2
121454412204946
136a847779bb28
143036582905b8
15162d17bd174c
hexb1d38099846

12220122110022 has 128 divisors (see below), whose sum is σ = 28071188392320. Its totient is φ = 3988234755072.

The previous prime is 12220122109931. The next prime is 12220122110041. The reversal of 12220122110022 is 22001122102221.

It is a happy number.

12220122110022 is a `hidden beast` number, since 122 + 201 + 221 + 100 + 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 = 12220122109977 and 12220122110004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43604698 + ... + 43884050.

It is an arithmetic number, because the mean of its divisors is an integer number (219306159315).

Almost surely, 212220122110022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12220122110022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14035594196160).

12220122110022 is an abundant number, since it is smaller than the sum of its proper divisors (15851066282298).

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

12220122110022 is an equidigital number, since it uses as much as digits as its factorization.

12220122110022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279586 (or 279568 counting only the distinct ones).

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

Adding to 12220122110022 its reverse (22001122102221), we get a palindrome (34221244212243).

The spelling of 12220122110022 in words is "twelve trillion, two hundred twenty billion, one hundred twenty-two million, one hundred ten thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 54 73 81 137 146 162 219 243 274 411 438 486 657 729 822 1233 1314 1458 1971 2187 2466 3699 3942 4374 5913 7398 10001 11097 11826 17739 20002 22194 30003 33291 35478 53217 60006 66582 90009 99873 106434 159651 180018 199746 270027 279353 299619 319302 540054 558706 599238 810081 838059 1620162 1676118 2430243 2514177 4860486 5028354 7290729 7542531 14581458 15085062 20392769 21872187 22627593 38271361 40785538 43744374 45255186 61178307 67882779 76542722 114814083 122356614 135765558 183534921 203648337 229628166 344442249 367069842 407296674 550604763 610945011 688884498 1033326747 1101209526 1221890022 1651814289 2066653494 2793809353 3099980241 3303628578 4955442867 5587618706 6199960482 8381428059 9299940723 9910885734 14866328601 16762856118 18599881446 25144284177 27899822169 29732657202 44598985803 50288568354 55799644338 75432852531 83699466507 89197971606 150865705062 167398933014 226298557593 452597115186 678895672779 1357791345558 2036687018337 4073374036674 6110061055011 12220122110022