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1233232000000 = 210567211213
BaseRepresentation
bin10001111100100010010…
…110101111010000000000
311100220012001120121212021
4101330202112233100000
5130201124343000000
62342312225411224
7155045432020300
oct21744226572000
94326161517767
101233232000000
1143601334a600
1217b012a99b14
138c3a7443a30
144398dccb600
152212c43411a
hex11f225af400

1233232000000 has 1386 divisors, whose sum is σ = 4243232756238. Its totient is φ = 354816000000.

The previous prime is 1233231999977. The next prime is 1233232000001. The reversal of 1233232000000 is 2323321.

It can be written as a sum of positive squares in 7 ways, for example, as 1170066236416 + 63165763584 = 1081696^2 + 251328^2 .

It is a super-2 number, since 2×12332320000002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1233232000001) 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 125 ways as a sum of consecutive naturals, for example, 94863999994 + ... + 94864000006.

Almost surely, 21233232000000 is an apocalyptic number.

1233232000000 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 1233232000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2121616378119).

1233232000000 is an abundant number, since it is smaller than the sum of its proper divisors (3010000756238).

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

1233232000000 is an frugal number, since it uses more digits than its factorization.

1233232000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 1233232000000 its reverse (2323321), we get a palindrome (1233234323321).

The spelling of 1233232000000 in words is "one trillion, two hundred thirty-three billion, two hundred thirty-two million", and thus it is an aban number.