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12112212211000 = 2353111462975269
BaseRepresentation
bin1011000001000001100000…
…0110110011010100111000
31120212220201220011001011021
42300100120012303110320
53041421302311223000
641432135023112224
72360035624040506
oct260203006632470
946786656131137
1012112212211000
11394a840034870
121437517442674
1369b23b305185
142dc33c8db676
151600ee34811a
hexb04181b3538

12112212211000 has 128 divisors (see below), whose sum is σ = 30921698808000. Its totient is φ = 4404081216000.

The previous prime is 12112212210983. The next prime is 12112212211067. The reversal of 12112212211000 is 11221221121.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160881366 + ... + 160956634.

Almost surely, 212112212211000 is an apocalyptic number.

12112212211000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12112212211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15460849404000).

12112212211000 is an abundant number, since it is smaller than the sum of its proper divisors (18809486597000).

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

12112212211000 is a wasteful number, since it uses less digits than its factorization.

12112212211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89930 (or 89916 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12112212211000 its reverse (11221221121), we get a palindrome (12123433432121).

The spelling of 12112212211000 in words is "twelve trillion, one hundred twelve billion, two hundred twelve million, two hundred eleven thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 5500 11000 14629 29258 58516 73145 75269 117032 146290 150538 160919 292580 301076 321838 365725 376345 585160 602152 643676 731450 752690 804595 827959 1287352 1462900 1505380 1609190 1655918 1828625 1881725 2925800 3010760 3218380 3311836 3657250 3763450 4022975 4139795 6436760 6623672 7314500 7526900 8045950 8279590 9408625 14629000 15053800 16091900 16559180 18817250 20114875 20698975 32183800 33118360 37634500 40229750 41397950 75269000 80459500 82795900 103494875 160919000 165591800 206989750 413979500 827959000 1101110201 2202220402 4404440804 5505551005 8808881608 11011102010 12112212211 22022204020 24224424422 27527755025 44044408040 48448848844 55055510050 60561061055 96897697688 110111020100 121122122110 137638775125 220222040200 242244244220 275277550250 302805305275 484488488440 550555100500 605610610550 1101110201000 1211221221100 1514026526375 2422442442200 3028053052750 6056106105500 12112212211000