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12234120000 = 26354269379
BaseRepresentation
bin10110110010011010…
…11101101101000000
31011120121122200121120
423121031131231000
5200023413320000
65341551352240
7612113206224
oct133115355500
934517580546
1012234120000
115208929483
122455222680
1311cc80717b
14840b62784
154b90b96a0
hex2d935db40

12234120000 has 280 divisors, whose sum is σ = 40706344800. Its totient is φ = 3241728000.

The previous prime is 12234119993. The next prime is 12234120029. The reversal of 12234120000 is 2143221.

12234120000 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 (15).

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 39 ways as a sum of consecutive naturals, for example, 32279811 + ... + 32280189.

Almost surely, 212234120000 is an apocalyptic number.

12234120000 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 12234120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20353172400).

12234120000 is an abundant number, since it is smaller than the sum of its proper divisors (28472224800).

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

12234120000 is an equidigital number, since it uses as much as digits as its factorization.

12234120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 12234120000 its reverse (2143221), we get a palindrome (12236263221).

The spelling of 12234120000 in words is "twelve billion, two hundred thirty-four million, one hundred twenty thousand".