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12122012100 = 22352113673337
BaseRepresentation
bin10110100101000011…
…10011100111000100
31011021210201000111010
423102201303213010
5144311213341400
65322504442220
7606252255102
oct132241634704
934253630433
1012122012100
115160618120
122423779370
1311b2514533
1482dcdcc72
154ae322450
hex2d28739c4

12122012100 has 72 divisors (see below), whose sum is σ = 38261488608. Its totient is φ = 2938668800.

The previous prime is 12122012081. The next prime is 12122012107. The reversal of 12122012100 is 121022121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (12122012107) 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, 1833369 + ... + 1839968.

It is an arithmetic number, because the mean of its divisors is an integer number (531409564).

Almost surely, 212122012100 is an apocalyptic number.

12122012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122012100 is an abundant number, since it is smaller than the sum of its proper divisors (26139476508).

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

12122012100 is a wasteful number, since it uses less digits than its factorization.

12122012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3673365 (or 3673358 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12122012100 its reverse (121022121), we get a palindrome (12243034221).

The spelling of 12122012100 in words is "twelve billion, one hundred twenty-two million, twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 3673337 7346674 11020011 14693348 18366685 22040022 36733370 40406707 44080044 55100055 73466740 80813414 91833425 110200110 121220121 161626828 183666850 202033535 220400220 242440242 275500275 367333700 404067070 484880484 551000550 606100605 808134140 1010167675 1102001100 1212201210 2020335350 2424402420 3030503025 4040670700 6061006050 12122012100