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12201211000 = 2353111958379
BaseRepresentation
bin10110101110011111…
…11011010001111000
31011111022201201221201
423113033323101320
5144442002223000
65334414143544
7611233403506
oct132717732170
934438651851
1012201211000
1151a12a1460
1224461b1bb4
1311c5a540a4
1483a637676
154b626896a
hex2d73fb478

12201211000 has 128 divisors (see below), whose sum is σ = 32786208000. Its totient is φ = 4203216000.

The previous prime is 12201210997. The next prime is 12201211003. The reversal of 12201211000 is 11210221.

It is an interprime number because it is at equal distance from previous prime (12201210997) and next prime (12201211003).

It is a super-3 number, since 3×122012110003 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12201211003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179811 + ... + 238189.

It is an arithmetic number, because the mean of its divisors is an integer number (256142250).

Almost surely, 212201211000 is an apocalyptic number.

12201211000 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 12201211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16393104000).

12201211000 is an abundant number, since it is smaller than the sum of its proper divisors (20584997000).

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

12201211000 is a wasteful number, since it uses less digits than its factorization.

12201211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58430 (or 58416 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12201211000 its reverse (11210221), we get a palindrome (12212421221).

The spelling of 12201211000 in words is "twelve billion, two hundred one million, two hundred eleven thousand".

Divisors: 1 2 4 5 8 10 11 19 20 22 25 38 40 44 50 55 76 88 95 100 110 125 152 190 200 209 220 250 275 380 418 440 475 500 550 760 836 950 1000 1045 1100 1375 1672 1900 2090 2200 2375 2750 3800 4180 4750 5225 5500 8360 9500 10450 11000 19000 20900 26125 41800 52250 58379 104500 116758 209000 233516 291895 467032 583790 642169 1109201 1167580 1284338 1459475 2218402 2335160 2568676 2918950 3210845 4436804 5137352 5546005 5837900 6421690 7297375 8873608 11092010 11675800 12201211 12843380 14594750 16054225 22184020 24402422 25686760 27730025 29189500 32108450 44368040 48804844 55460050 58379000 61006055 64216900 80271125 97609688 110920100 122012110 128433800 138650125 160542250 221840200 244024220 277300250 305030275 321084500 488048440 554600500 610060550 642169000 1109201000 1220121100 1525151375 2440242200 3050302750 6100605500 12201211000