12233642000 has 160 divisors (see below), whose sum is σ = 31472030304. Its totient is φ = 4583424000.

The previous prime is 12233641999. The next prime is 12233642023. The reversal of 12233642000 is 24633221.

It can be written as a sum of positive squares in 16 ways, for example, as 2893579264 + 9340062736 = 53792^2 + 96644^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8193254 + ... + 8194746.

Almost surely, 2^12233642000 is an apocalyptic number.

12233642000 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 12233642000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15736015152).

12233642000 is an abundant number, since it is smaller than the sum of its proper divisors (19238388304).

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

12233642000 is a wasteful number, since it uses less digits than its factorization.

12233642000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1774 (or 1758 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The spelling of 12233642000 in words is "twelve billion, two hundred thirty-three million, six hundred forty-two thousand".