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12110222120000 = 2654601503753
BaseRepresentation
bin1011000000111010000101…
…1111001101010001000000
31120212201121012102221112012
42300032201133031101000
53041403213330320000
641431205332352052
72356635410406104
oct260164137152100
946781535387465
1012110222120000
113949a09745a64
121437060a75628
1369acb1c1a134
142dc1d04a1904
15160034791735
hexb03a17cd440

12110222120000 has 140 divisors (see below), whose sum is σ = 30079440494796. Its totient is φ = 4836019200000.

The previous prime is 12110222119987. The next prime is 12110222120021. The reversal of 12110222120000 is 2122201121.

It can be written as a sum of positive squares in 10 ways, for example, as 8145726981184 + 3964495138816 = 2854072^2 + 1991104^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 23788124 + ... + 24291876.

Almost surely, 212110222120000 is an apocalyptic number.

12110222120000 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 12110222120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15039720247398).

12110222120000 is an abundant number, since it is smaller than the sum of its proper divisors (17969218374796).

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

12110222120000 is an frugal number, since it uses more digits than its factorization.

12110222120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504386 (or 504361 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12110222120000 its reverse (2122201121), we get a palindrome (12112344321121).

The spelling of 12110222120000 in words is "twelve trillion, one hundred ten billion, two hundred twenty-two million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 601 625 800 1000 1202 1250 1600 2000 2404 2500 3005 4000 4808 5000 6010 8000 9616 10000 12020 15025 19232 20000 24040 30050 38464 40000 48080 60100 75125 96160 120200 150250 192320 240400 300500 375625 480800 503753 601000 751250 961600 1007506 1202000 1502500 2015012 2404000 2518765 3005000 4030024 4808000 5037530 6010000 8060048 10075060 12020000 12593825 16120096 20150120 24040000 25187650 32240192 40300240 50375300 62969125 80600480 100750600 125938250 161200960 201501200 251876500 302755553 314845625 403002400 503753000 605511106 629691250 806004800 1007506000 1211022212 1259382500 1513777765 2015012000 2422044424 2518765000 3027555530 4030024000 4844088848 5037530000 6055111060 7568888825 9688177696 10075060000 12110222120 15137777650 19376355392 20150120000 24220444240 30275555300 37844444125 48440888480 60551110600 75688888250 96881776960 121102221200 151377776500 189222220625 242204442400 302755553000 378444441250 484408884800 605511106000 756888882500 1211022212000 1513777765000 2422044424000 3027555530000 6055111060000 12110222120000