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21221121200112 = 243349122965741
BaseRepresentation
bin1001101001100111011010…
…11001000000111111110000
32210010201102102102202022000
410310303231121000333300
510240141324011400422
6113044503135214000
74320114110662551
oct464635531007760
983121372382260
1021221121200112
116841910758409
122468966677300
13bac1b263a792
14535171928328
1526c023e5ecac
hex134ced640ff0

21221121200112 has 40 divisors (see below), whose sum is σ = 60912477520080. Its totient is φ = 7073707066560.

The previous prime is 21221121200107. The next prime is 21221121200131. The reversal of 21221121200112 is 21100212112212.

21221121200112 is a `hidden beast` number, since 212 + 21 + 121 + 200 + 112 = 666.

It is a super-2 number, since 2×212211212001122 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 24561482439 + ... + 24561483302.

It is an arithmetic number, because the mean of its divisors is an integer number (1522811938002).

Almost surely, 221221121200112 is an apocalyptic number.

It is an amenable number.

21221121200112 is an abundant number, since it is smaller than the sum of its proper divisors (39691356319968).

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

21221121200112 is a wasteful number, since it uses less digits than its factorization.

21221121200112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49122965758 (or 49122965746 counting only the distinct ones).

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

Adding to 21221121200112 its reverse (21100212112212), we get a palindrome (42321333312324).

The spelling of 21221121200112 in words is "twenty-one trillion, two hundred twenty-one billion, one hundred twenty-one million, two hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 49122965741 98245931482 147368897223 196491862964 294737794446 392983725928 442106691669 589475588892 785967451856 884213383338 1178951177784 1326320075007 1768426766676 2357902355568 2652640150014 3536853533352 5305280300028 7073707066704 10610560600056 21221121200112