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21212101122120 = 233253182310932113
BaseRepresentation
bin1001101001010110100111…
…10000001001100001001000
32210002212010210120022110100
410310223103300021201020
510240014340341401440
6113040412115445400
74316344432406226
oct464532360114110
983085123508410
1021212101122120
1168390020a32a7
1224670698b6860
13bab3a597a71c
145349579a7b16
1526bb97119230
hex134ad3c09848

21212101122120 has 384 divisors, whose sum is σ = 71348583720960. Its totient is φ = 5459851837440.

The previous prime is 21212101122109. The next prime is 21212101122133. The reversal of 21212101122120 is 2122110121212.

21212101122120 is a `hidden beast` number, since 212 + 1 + 210 + 1 + 1 + 221 + 20 = 666.

It is a super-3 number, since 3×212121011221203 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21212101122093 and 21212101122102.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10038854184 + ... + 10038856296.

It is an arithmetic number, because the mean of its divisors is an integer number (185803603440).

Almost surely, 221212101122120 is an apocalyptic number.

21212101122120 is a gapful number since it is divisible by the number (20) 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 21212101122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35674291860480).

21212101122120 is an abundant number, since it is smaller than the sum of its proper divisors (50136482598840).

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

21212101122120 is a wasteful number, since it uses less digits than its factorization.

21212101122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4077 (or 4070 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21212101122120 its reverse (2122110121212), we get a palindrome (23334211243332).

The spelling of 21212101122120 in words is "twenty-one trillion, two hundred twelve billion, one hundred one million, one hundred twenty-two thousand, one hundred twenty".