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12122011200 = 2635213194263
BaseRepresentation
bin10110100101000011…
…10011011001000000
31011021210200222020210
423102201303121000
5144311213324300
65322504434120
7606252252345
oct132241633100
934253628223
1012122011200
115160617482
122423778940
1311b2513cc0
1482dcdc7cc
154ae322050
hex2d2873640

12122011200 has 168 divisors, whose sum is σ = 42829772608. Its totient is φ = 2983864320.

The previous prime is 12122011199. The next prime is 12122011219. The reversal of 12122011200 is 211022121.

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

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, 34732 + ... + 159531.

Almost surely, 212122011200 is an apocalyptic number.

12122011200 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 12122011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21414886304).

12122011200 is an abundant number, since it is smaller than the sum of its proper divisors (30707761408).

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

12122011200 is a wasteful number, since it uses less digits than its factorization.

12122011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194301 (or 194286 counting only the distinct ones).

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

Adding to 12122011200 its reverse (211022121), we get a palindrome (12333033321).

The spelling of 12122011200 in words is "twelve billion, one hundred twenty-two million, eleven thousand, two hundred".