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12232000000 = 295611139
BaseRepresentation
bin10110110010001010…
…11000001000000000
31011120110122222112001
423121011120020000
5200022343000000
65341434113344
7612056166403
oct133105301000
934513588461
1012232000000
115207710710
12245457b854
1311cc24422c
1484076dd3a
154b8ceb46a
hex2d9158200

12232000000 has 280 divisors, whose sum is σ = 33566757840. Its totient is φ = 4416000000.

The previous prime is 12231999961. The next prime is 12232000007. The reversal of 12232000000 is 23221.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (12232000007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 87999931 + ... + 88000069.

It is an arithmetic number, because the mean of its divisors is an integer number (119881278).

Almost surely, 212232000000 is an apocalyptic number.

12232000000 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 12232000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16783378920).

12232000000 is an abundant number, since it is smaller than the sum of its proper divisors (21334757840).

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

12232000000 is an frugal number, since it uses more digits than its factorization.

12232000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 12232000000 its reverse (23221), we get a palindrome (12232023221).

The spelling of 12232000000 in words is "twelve billion, two hundred thirty-two million", and thus it is an aban number.