Search a number
-
+
12200022300 = 223525371101107
BaseRepresentation
bin10110101110010110…
…11001000100011100
31011111020111100100210
423113023121010130
5144441201203200
65334332452420
7611220323064
oct132713310434
934436440323
1012200022300
1151a065a364
12244591a110
1311c572900b
1483a4083a4
154b60d1650
hex2d72d911c

12200022300 has 288 divisors, whose sum is σ = 37176620544. Its totient is φ = 3086720000.

The previous prime is 12200022283. The next prime is 12200022323. The reversal of 12200022300 is 322000221.

12200022300 is digitally balanced in base 2, 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 (12).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 114018847 + ... + 114018953.

It is an arithmetic number, because the mean of its divisors is an integer number (129085488).

Almost surely, 212200022300 is an apocalyptic number.

12200022300 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 12200022300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18588310272).

12200022300 is an abundant number, since it is smaller than the sum of its proper divisors (24976598244).

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

12200022300 is a wasteful number, since it uses less digits than its factorization.

12200022300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 12200022300 its reverse (322000221), we get a palindrome (12522022521).

The spelling of 12200022300 in words is "twelve billion, two hundred million, twenty-two thousand, three hundred".