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20123220000 = 253541325799
BaseRepresentation
bin10010101111011011…
…111111100000100000
31220221102101111022110
4102233123333200200
5312203021020000
613124450235320
71311446355612
oct225733774040
956842344273
1020123220000
118597040034
123a97285b40
131b8908b390
14d8c7dcdb2
157cb9aa850
hex4af6ff820

20123220000 has 240 divisors, whose sum is σ = 71088494400. Its totient is φ = 4953216000.

The previous prime is 20123219993. The next prime is 20123220001. The reversal of 20123220000 is 2232102.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (20123220001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 767101 + ... + 792899.

It is an arithmetic number, because the mean of its divisors is an integer number (296202060).

Almost surely, 220123220000 is an apocalyptic number.

20123220000 is a gapful number since it is divisible by the number (20) 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 20123220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35544247200).

20123220000 is an abundant number, since it is smaller than the sum of its proper divisors (50965274400).

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

20123220000 is a wasteful number, since it uses less digits than its factorization.

20123220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25845 (or 25822 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 20123220000 its reverse (2232102), we get a palindrome (20125452102).

The spelling of 20123220000 in words is "twenty billion, one hundred twenty-three million, two hundred twenty thousand".