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12112221101022 = 23271672351244841
BaseRepresentation
bin1011000001000001100010…
…1000101101101111011110
31120212220202111212200222100
42300100120220231233132
53041421312100213042
641432135541425530
72360036062435110
oct260203050555736
946786674780870
1012112221101022
11394a845056a99
12143751a40b2a6
1369b2400c8743
142dc33db733b0
1516010000224c
hexb0418a2dbde

12112221101022 has 96 divisors (see below), whose sum is σ = 30184717215744. Its totient is φ = 3438435024000.

The previous prime is 12112221101021. The next prime is 12112221101051. The reversal of 12112221101022 is 22010112221121.

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 = 12112221100986 and 12112221101004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12112221101021) 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, 49347322 + ... + 49592162.

It is an arithmetic number, because the mean of its divisors is an integer number (314424137664).

Almost surely, 212112221101022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12112221101022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15092358607872).

12112221101022 is an abundant number, since it is smaller than the sum of its proper divisors (18072496114722).

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

12112221101022 is a wasteful number, since it uses less digits than its factorization.

12112221101022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247374 (or 247371 counting only the distinct ones).

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

Adding to 12112221101022 its reverse (22010112221121), we get a palindrome (34122333322143).

The spelling of 12112221101022 in words is "twelve trillion, one hundred twelve billion, two hundred twenty-one million, one hundred one thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 167 334 501 1002 1169 1503 2338 2351 3006 3507 4702 7014 7053 10521 14106 16457 21042 21159 32914 42318 49371 98742 148113 244841 296226 392617 489682 734523 785234 1177851 1469046 1713887 2203569 2355702 2748319 3427774 3533553 4407138 5141661 5496638 7067106 8244957 10283322 15424983 16489914 24734871 30849966 40888447 49469742 81776894 122665341 245330682 286219129 367996023 572438258 575621191 735992046 858657387 1151242382 1717314774 1726863573 2575972161 3453727146 4029348337 5151944322 5180590719 8058696674 10361181438 12088045011 24176090022 36264135033 72528270066 96128738897 192257477794 288386216691 576772433382 672901172279 865158650073 1345802344558 1730317300146 2018703516837 4037407033674 6056110550511 12112221101022