Search a number
-
+
12332218080 = 2535721353761
BaseRepresentation
bin10110111110000111…
…01011011011100000
31011211110020120212210
423133003223123200
5200224021434310
65355414122120
7614414060400
oct133703533340
934743216783
1012332218080
115259240a76
122482050340
131216c33080
1484dbba800
154c29e5820
hex2df0eb6e0

12332218080 has 576 divisors, whose sum is σ = 49648189248. Its totient is φ = 2549514240.

The previous prime is 12332218051. The next prime is 12332218091. The reversal of 12332218080 is 8081223321.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 95 ways as a sum of consecutive naturals, for example, 16204900 + ... + 16205660.

It is an arithmetic number, because the mean of its divisors is an integer number (86194773).

Almost surely, 212332218080 is an apocalyptic number.

12332218080 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 12332218080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24824094624).

12332218080 is an abundant number, since it is smaller than the sum of its proper divisors (37315971168).

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

12332218080 is a wasteful number, since it uses less digits than its factorization.

12332218080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 12332218080 in words is "twelve billion, three hundred thirty-two million, two hundred eighteen thousand, eighty".