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12122221002100 = 22521112433886367
BaseRepresentation
bin1011000001100110110010…
…1011010011110101110100
31120220212120102110022101221
42300121230223103311310
53042102302034031400
641440512122200124
72360541636255466
oct260315453236564
946825512408357
1012122221002100
113954006803750
12143944b353044
1369c174a7cb81
142dca0bcac136
151604d7d90c1a
hexb066cad3d74

12122221002100 has 72 divisors (see below), whose sum is σ = 28698943650048. Its totient is φ = 4407720844800.

The previous prime is 12122221002097. The next prime is 12122221002107. The reversal of 12122221002100 is 120012222121.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122221002107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13233117 + ... + 14119483.

It is an arithmetic number, because the mean of its divisors is an integer number (398596439584).

Almost surely, 212122221002100 is an apocalyptic number.

12122221002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122221002100 is an abundant number, since it is smaller than the sum of its proper divisors (16576722647948).

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

12122221002100 is a wasteful number, since it uses less digits than its factorization.

12122221002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898825 (or 898818 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12122221002100 its reverse (120012222121), we get a palindrome (12242233224221).

The spelling of 12122221002100 in words is "twelve trillion, one hundred twenty-two billion, two hundred twenty-one million, two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 12433 24866 49732 62165 124330 136763 248660 273526 310825 547052 621650 683815 886367 1243300 1367630 1772734 2735260 3419075 3545468 4431835 6838150 8863670 9750037 13676300 17727340 19500074 22159175 39000148 44318350 48750185 88636700 97500370 195000740 243750925 487501850 975003700 11020200911 22040401822 44080803644 55101004555 110202009110 121222210021 220404018220 242444420042 275505022775 484888840084 551010045550 606111050105 1102020091100 1212222100210 2424444200420 3030555250525 6061110501050 12122221002100