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12201300000 = 2533554519
BaseRepresentation
bin10110101110100000…
…10001000000100000
31011111022220021001000
423113100101000200
5144442013100000
65334420112000
7611234224131
oct132720210040
934438807030
1012201300000
1151a135230a
122446235600
1311c5a85756
1483a65bc88
154b6285000
hex2d7411020

12201300000 has 288 divisors, whose sum is σ = 44490902400. Its totient is φ = 3252960000.

The previous prime is 12201299927. The next prime is 12201300029. The reversal of 12201300000 is 310221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2697741 + ... + 2702259.

It is an arithmetic number, because the mean of its divisors is an integer number (154482300).

Almost surely, 212201300000 is an apocalyptic number.

12201300000 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 12201300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22245451200).

12201300000 is an abundant number, since it is smaller than the sum of its proper divisors (32289602400).

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

12201300000 is an frugal number, since it uses more digits than its factorization.

12201300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4563 (or 4529 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 12201300000 its reverse (310221), we get a palindrome (12201610221).

The spelling of 12201300000 in words is "twelve billion, two hundred one million, three hundred thousand".