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12201110020 = 2251127171011
BaseRepresentation
bin10110101110011111…
…00010101000000100
31011111022112121102201
423113033202220010
5144441441010040
65334412044244
7611232503221
oct132717425004
934438477381
1012201110020
1151a1232600
122446163684
1311c5a1a138
1483a60c948
154b6248a9a
hex2d73e2a04

12201110020 has 72 divisors (see below), whose sum is σ = 28560458304. Its totient is φ = 4374216000.

The previous prime is 12201110011. The next prime is 12201110021. The reversal of 12201110020 is 2001110221.

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

It is a junction number, because it is equal to n+sod(n) for n = 12201109979 and 12201110006.

It is not an unprimeable number, because it can be changed into a prime (12201110021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136315 + ... + 207325.

It is an arithmetic number, because the mean of its divisors is an integer number (396673032).

Almost surely, 212201110020 is an apocalyptic number.

12201110020 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 12201110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14280229152).

12201110020 is an abundant number, since it is smaller than the sum of its proper divisors (16359348284).

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

12201110020 is a wasteful number, since it uses less digits than its factorization.

12201110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71113 (or 71100 counting only the distinct ones).

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

Adding to 12201110020 its reverse (2001110221), we get a palindrome (14202220241).

It can be divided in two parts, 12201 and 110020, that added together give a palindrome (122221).

The spelling of 12201110020 in words is "twelve billion, two hundred one million, one hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 71 110 121 142 220 242 284 355 484 605 710 781 1210 1420 1562 2420 3124 3905 7810 8591 15620 17182 34364 42955 71011 85910 142022 171820 284044 355055 710110 781121 1420220 1562242 3124484 3905605 5041781 7811210 8592331 10083562 15622420 17184662 20167124 25208905 34369324 42961655 50417810 55459591 85923310 100835620 110919182 171846620 221838364 277297955 554595910 610055501 1109191820 1220111002 2440222004 3050277505 6100555010 12201110020