Search a number
-
+
121022301120 = 2635722839091
BaseRepresentation
bin111000010110101111…
…1011100001111000000
3102120101020210212222220
41300231133130033000
53440323202113440
6131332531531040
711513021405100
oct1605537341700
9376336725886
10121022301120
1147363a30086
121b556159a80
13b548c32186
145c0101b200
153234ade8d0
hex1c2d7dc3c0

121022301120 has 336 divisors, whose sum is σ = 448608590208. Its totient is φ = 27561461760.

The previous prime is 121022301053. The next prime is 121022301161. The reversal of 121022301120 is 21103220121.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 121022301120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13307775 + ... + 13316865.

Almost surely, 2121022301120 is an apocalyptic number.

121022301120 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 121022301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224304295104).

121022301120 is an abundant number, since it is smaller than the sum of its proper divisors (327586289088).

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

121022301120 is a wasteful number, since it uses less digits than its factorization.

121022301120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9408 (or 9391 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 121022301120 its reverse (21103220121), we get a palindrome (142125521241).

The spelling of 121022301120 in words is "one hundred twenty-one billion, twenty-two million, three hundred one thousand, one hundred twenty".