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12213320121000 = 2332533786342499
BaseRepresentation
bin1011000110111010001010…
…0110110111101010101000
31121020120201021112001012200
42301232202212313222220
53100100334422333000
641550415524340200
72400245313065355
oct261564246675250
947216637461180
1012213320121000
113989704898069
121453034244660
136a7932504a5b
143031b0b5962c
15162a6a97c500
hexb1ba29b7aa8

12213320121000 has 384 divisors, whose sum is σ = 42446851200000. Its totient is φ = 3165115046400.

The previous prime is 12213320120951. The next prime is 12213320121043. The reversal of 12213320121000 is 12102331221.

12213320121000 is a `hidden beast` number, since 1 + 221 + 3 + 320 + 121 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 95 ways as a sum of consecutive naturals, for example, 287357751 + ... + 287400249.

It is an arithmetic number, because the mean of its divisors is an integer number (110538675000).

Almost surely, 212213320121000 is an apocalyptic number.

12213320121000 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 12213320121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21223425600000).

12213320121000 is an abundant number, since it is smaller than the sum of its proper divisors (30233531079000).

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

12213320121000 is a wasteful number, since it uses less digits than its factorization.

12213320121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43426 (or 43409 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12213320121000 its reverse (12102331221), we get a palindrome (12225422452221).

The spelling of 12213320121000 in words is "twelve trillion, two hundred thirteen billion, three hundred twenty million, one hundred twenty-one thousand".