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12200452000 = 255311416763
BaseRepresentation
bin10110101110011010…
…00001111110100000
31011111021022011210121
423113031001332200
5144441303431000
65334350010024
7611224062622
oct132715017640
934437264717
1012200452000
1151a0923190
122445aa6914
1311c5849789
1483a4bac12
154b6168b1a
hex2d7341fa0

12200452000 has 192 divisors, whose sum is σ = 33504202368. Its totient is φ = 4327680000.

The previous prime is 12200451997. The next prime is 12200452001. The reversal of 12200452000 is 25400221.

12200452000 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 (16).

It is not an unprimeable number, because it can be changed into a prime (12200452001) 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 31 ways as a sum of consecutive naturals, for example, 1800619 + ... + 1807381.

It is an arithmetic number, because the mean of its divisors is an integer number (174501054).

Almost surely, 212200452000 is an apocalyptic number.

12200452000 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 12200452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16752101184).

12200452000 is an abundant number, since it is smaller than the sum of its proper divisors (21303750368).

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

12200452000 is a wasteful number, since it uses less digits than its factorization.

12200452000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6840 (or 6822 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

Adding to 12200452000 its reverse (25400221), we get a palindrome (12225852221).

The spelling of 12200452000 in words is "twelve billion, two hundred million, four hundred fifty-two thousand".