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12211230000 = 24354596899
BaseRepresentation
bin10110101111101100…
…01001010100110000
31011112000120202102210
423113312021110300
5200002033330000
65335413012120
7611414512434
oct132766112460
934460522383
1012211230000
1151a6a14922
122449624040
1311c7b514a8
1483bac49c4
154b7097350
hex2d7d89530

12211230000 has 200 divisors, whose sum is σ = 40093416000. Its totient is φ = 3200672000.

The previous prime is 12211229951. The next prime is 12211230001. The reversal of 12211230000 is 3211221.

12211230000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×122112300002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (12211230001) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 1766551 + ... + 1773449.

It is an arithmetic number, because the mean of its divisors is an integer number (200467080).

Almost surely, 212211230000 is an apocalyptic number.

12211230000 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 12211230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20046708000).

12211230000 is an abundant number, since it is smaller than the sum of its proper divisors (27882186000).

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

12211230000 is an equidigital number, since it uses as much as digits as its factorization.

12211230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6989 (or 6968 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 12211230000 its reverse (3211221), we get a palindrome (12214441221).

The spelling of 12211230000 in words is "twelve billion, two hundred eleven million, two hundred thirty thousand".