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12000022100 = 225211101108011
BaseRepresentation
bin10110010110100000…
…11100111001010100
31010222022011021122222
423023100130321110
5144034001201400
65302430041512
7603241335113
oct131320347124
933868137588
1012000022100
1150a8777240
1223aa949298
1311931718c1
1481ba25c7a
154a3777185
hex2cb41ce54

12000022100 has 72 divisors (see below), whose sum is σ = 28688851296. Its totient is φ = 4320400000.

The previous prime is 12000022063. The next prime is 12000022123. The reversal of 12000022100 is 122000021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57095 + ... + 165105.

It is an arithmetic number, because the mean of its divisors is an integer number (398456268).

Almost surely, 212000022100 is an apocalyptic number.

12000022100 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 12000022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14344425648).

12000022100 is an abundant number, since it is smaller than the sum of its proper divisors (16688829196).

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

12000022100 is a wasteful number, since it uses less digits than its factorization.

12000022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108137 (or 108130 counting only the distinct ones).

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

Adding to 12000022100 its reverse (122000021), we get a palindrome (12122022121).

The spelling of 12000022100 in words is "twelve billion, twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 202 220 275 404 505 550 1010 1100 1111 2020 2222 2525 4444 5050 5555 10100 11110 22220 27775 55550 108011 111100 216022 432044 540055 1080110 1188121 2160220 2376242 2700275 4752484 5400550 5940605 10801100 10909111 11881210 21818222 23762420 29703025 43636444 54545555 59406050 109091110 118812100 120000221 218182220 240000442 272727775 480000884 545455550 600001105 1090911100 1200002210 2400004420 3000005525 6000011050 12000022100