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121130122212 = 22321153103137409
BaseRepresentation
bin111000011001111101…
…0101111101111100100
3102120122202200202201200
41300303322233233210
53441033302402322
6131351342522500
711515501023231
oct1606372575744
9376582622650
10121130122212
1147409883720
121b586296430
13b565383838
145c11486788
15323e2db8ac
hex1c33eafbe4

121130122212 has 288 divisors, whose sum is σ = 346986581760. Its totient is φ = 35317002240.

The previous prime is 121130122193. The next prime is 121130122213. The reversal of 121130122212 is 212221031121.

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

It is not an unprimeable number, because it can be changed into a prime (121130122213) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 296161464 + ... + 296161872.

It is an arithmetic number, because the mean of its divisors is an integer number (1204814520).

Almost surely, 2121130122212 is an apocalyptic number.

121130122212 is a gapful number since it is divisible by the number (12) 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 121130122212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173493290880).

121130122212 is an abundant number, since it is smaller than the sum of its proper divisors (225856459548).

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

121130122212 is a wasteful number, since it uses less digits than its factorization.

121130122212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 121130122212 its reverse (212221031121), we get a palindrome (333351153333).

It can be divided in two parts, 121130 and 122212, that added together give a palindrome (243342).

The spelling of 121130122212 in words is "one hundred twenty-one billion, one hundred thirty million, one hundred twenty-two thousand, two hundred twelve".