Search a number
-
+
121111321320 = 233251148776271
BaseRepresentation
bin111000011001011001…
…1000001101011101000
3102120121110022120202100
41300302303001223220
53441013444240240
6131345431533400
711515152150153
oct1606263015350
9376543276670
10121111321320
11473aa2022a0
121b57bb2a260
13b561500152
145c0cb90c9a
15323c825e30
hex1c32cc1ae8

121111321320 has 192 divisors, whose sum is σ = 429551216640. Its totient is φ = 29349619200.

The previous prime is 121111321301. The next prime is 121111321333. The reversal of 121111321320 is 23123111121.

121111321320 is a `hidden beast` number, since 1 + 2 + 11 + 11 + 321 + 320 = 666.

121111321320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 121111321293 and 121111321302.

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 47 ways as a sum of consecutive naturals, for example, 19309785 + ... + 19316055.

It is an arithmetic number, because the mean of its divisors is an integer number (2237245920).

Almost surely, 2121111321320 is an apocalyptic number.

121111321320 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 121111321320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214775608320).

121111321320 is an abundant number, since it is smaller than the sum of its proper divisors (308439895320).

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

121111321320 is a wasteful number, since it uses less digits than its factorization.

121111321320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11176 (or 11169 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 121111321320 its reverse (23123111121), we get a palindrome (144234432441).

The spelling of 121111321320 in words is "one hundred twenty-one billion, one hundred eleven million, three hundred twenty-one thousand, three hundred twenty".