Search a number
-
+
12223103032200 = 233523141151179593
BaseRepresentation
bin1011000111011110100110…
…1101101101101110001000
31121021111222001210102111010
42301313221231231232020
53100230403334012300
641555114354203520
72401042613340354
oct261675155555610
947244861712433
1012223103032200
113992875008045
121454b045835a0
136a88312338c8
1430385c12c464
15162e3e757a50
hexb1de9b6db88

12223103032200 has 768 divisors, whose sum is σ = 40626999705600. Its totient is φ = 3034828800000.

The previous prime is 12223103032177. The next prime is 12223103032249. The reversal of 12223103032200 is 223030132221.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20612315104 + ... + 20612315696.

It is an arithmetic number, because the mean of its divisors is an integer number (52899739200).

Almost surely, 212223103032200 is an apocalyptic number.

12223103032200 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 12223103032200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20313499852800).

12223103032200 is an abundant number, since it is smaller than the sum of its proper divisors (28403896673400).

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

12223103032200 is a wasteful number, since it uses less digits than its factorization.

12223103032200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 12223103032200 its reverse (223030132221), we get a palindrome (12446133164421).

The spelling of 12223103032200 in words is "twelve trillion, two hundred twenty-three billion, one hundred three million, thirty-two thousand, two hundred".