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121003300000 = 255511412683
BaseRepresentation
bin111000010110001011…
…0111101010010100000
3102120022221001112100201
41300230112331102200
53440303321100000
6131331012354544
711512401036202
oct1605426752240
9376287045321
10121003300000
1147354232280
121b54b915a54
13b54500b5cb
145bdc6b2772
1532330d996a
hex1c2c5bd4a0

121003300000 has 288 divisors, whose sum is σ = 332878569408. Its totient is φ = 42912000000.

The previous prime is 121003299971. The next prime is 121003300007. The reversal of 121003300000 is 3300121.

121003300000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1210033000002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 121003300000.

It is not an unprimeable number, because it can be changed into a prime (121003300007) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 45098659 + ... + 45101341.

It is an arithmetic number, because the mean of its divisors is an integer number (1155828366).

Almost surely, 2121003300000 is an apocalyptic number.

121003300000 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 121003300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166439284704).

121003300000 is an abundant number, since it is smaller than the sum of its proper divisors (211875269408).

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

121003300000 is an equidigital number, since it uses as much as digits as its factorization.

121003300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2770 (or 2742 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 121003300000 its reverse (3300121), we get a palindrome (121006600121).

The spelling of 121003300000 in words is "one hundred twenty-one billion, three million, three hundred thousand".