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12122011022100 = 2235275772386201
BaseRepresentation
bin1011000001100110000000…
…1010010011001100010100
31120220212000210100012222220
42300121200022103030110
53042101334310201400
641440435221422340
72360533506414060
oct260314012231424
946825023305886
1012122011022100
113953a09224661
1214393b0b6a9b0
1369c140410155
142dc9cc04caa0
151604c47147a0
hexb0660293314

12122011022100 has 72 divisors (see below), whose sum is σ = 40083449786688. Its totient is φ = 2770745376000.

The previous prime is 12122011022089. The next prime is 12122011022137. The reversal of 12122011022100 is 122011022121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12122011022100.

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, 2886191001 + ... + 2886195200.

Almost surely, 212122011022100 is an apocalyptic number.

12122011022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122011022100 is an abundant number, since it is smaller than the sum of its proper divisors (27961438764588).

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

12122011022100 is a wasteful number, since it uses less digits than its factorization.

12122011022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5772386225 (or 5772386218 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12122011022100 its reverse (122011022121), we get a palindrome (12244022044221).

The spelling of 12122011022100 in words is "twelve trillion, one hundred twenty-two billion, eleven million, twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 5772386201 11544772402 17317158603 23089544804 28861931005 34634317206 40406703407 57723862010 69268634412 80813406814 86585793015 115447724020 121220110221 144309655025 161626813628 173171586030 202033517035 242440220442 288619310050 346343172060 404067034070 432928965075 484880440884 577238620100 606100551105 808134068140 865857930150 1010167585175 1212201102210 1731715860300 2020335170350 2424402204420 3030502755525 4040670340700 6061005511050 12122011022100