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12201222000 = 2435311223829
BaseRepresentation
bin10110101110011111…
…11101111101110000
31011111022202022001010
423113033331331300
5144442003101000
65334414310520
7611233450542
oct132717757560
934438668033
1012201222000
1151a12a9750
1224461b8440
1311c5a590b6
1483a63b692
154b626bd50
hex2d73fdf70

12201222000 has 320 divisors, whose sum is σ = 43157237760. Its totient is φ = 2941056000.

The previous prime is 12201221983. The next prime is 12201222037. The reversal of 12201222000 is 22210221.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14717586 + ... + 14718414.

It is an arithmetic number, because the mean of its divisors is an integer number (134866368).

Almost surely, 212201222000 is an apocalyptic number.

12201222000 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 12201222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21578618880).

12201222000 is an abundant number, since it is smaller than the sum of its proper divisors (30956015760).

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

12201222000 is a wasteful number, since it uses less digits than its factorization.

12201222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 12201222000 its reverse (22210221), we get a palindrome (12223432221).

The spelling of 12201222000 in words is "twelve billion, two hundred one million, two hundred twenty-two thousand".