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21212120122112 = 281928315410051
BaseRepresentation
bin1001101001010110101001…
…11000101000001100000000
32210002212012010022121112202
410310223110320220030000
510240014410222401422
6113040414035012332
74316345053041623
oct464532470501400
983085163277482
1021212120122112
1168390118a0277
12246707413a0a8
13bab3a98a091a
1453495a311dba
1526bb98b1db92
hex134ad4e28300

21212120122112 has 72 divisors (see below), whose sum is σ = 44727367728960. Its totient is φ = 10012340966400.

The previous prime is 21212120122103. The next prime is 21212120122159. The reversal of 21212120122112 is 21122102121212.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6328514 + ... + 9081537.

It is an arithmetic number, because the mean of its divisors is an integer number (621213440680).

Almost surely, 221212120122112 is an apocalyptic number.

It is an amenable number.

21212120122112 is an abundant number, since it is smaller than the sum of its proper divisors (23515247606848).

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

21212120122112 is a wasteful number, since it uses less digits than its factorization.

21212120122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15410369 (or 15410355 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 21212120122112 its reverse (21122102121212), we get a palindrome (42334222243324).

Subtracting from 21212120122112 its reverse (21122102121212), we obtain a square (90018000900 = 3000302).

The spelling of 21212120122112 in words is "twenty-one trillion, two hundred twelve billion, one hundred twenty million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 283 304 566 608 1132 1216 2264 2432 4528 4864 5377 9056 10754 18112 21508 36224 43016 72448 86032 172064 344128 688256 1376512 15410051 30820102 61640204 123280408 246560816 292790969 493121632 585581938 986243264 1171163876 1972486528 2342327752 3944973056 4361044433 4684655504 8722088866 9369311008 17444177732 18738622016 34888355464 37477244032 69776710928 74954488064 82859844227 139553421856 165719688454 279106843712 331439376908 558213687424 662878753816 1116427374848 1325757507632 2651515015264 5303030030528 10606060061056 21212120122112