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12208250880 = 21333571983
BaseRepresentation
bin10110101111010101…
…10010000000000000
31011111210222101212000
423113222302000000
5200000303012010
65335225104000
7611350264110
oct132752620000
934453871760
1012208250880
1151a526a641
122448628000
1311c734a4b7
1483b54b040
154b6ba97c0
hex2d7ab2000

12208250880 has 896 divisors, whose sum is σ = 52845004800. Its totient is φ = 2611740672.

The previous prime is 12208250869. The next prime is 12208250939. The reversal of 12208250880 is 8805280221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 147087319 + ... + 147087401.

It is an arithmetic number, because the mean of its divisors is an integer number (58978800).

Almost surely, 212208250880 is an apocalyptic number.

12208250880 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 12208250880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26422502400).

12208250880 is an abundant number, since it is smaller than the sum of its proper divisors (40636753920).

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

12208250880 is an equidigital number, since it uses as much as digits as its factorization.

12208250880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The spelling of 12208250880 in words is "twelve billion, two hundred eight million, two hundred fifty thousand, eight hundred eighty".