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12222022120000 = 26547111012389
BaseRepresentation
bin1011000111011010100101…
…0010010111001001000000
31121021102011201212101200221
42301312221102113021000
53100221200130320000
641554415222352424
72401004046624010
oct261665122271100
947242151771627
1012222022120000
11399236a94a780
12145486258b714
136a86bb3070a4
1430379875bc40
15162dc98e261a
hexb1da9497240

12222022120000 has 840 divisors, whose sum is σ = 38260821867840. Its totient is φ = 3762048000000.

The previous prime is 12222022119997. The next prime is 12222022120039. The reversal of 12222022120000 is 2122022221.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 31419079806 + ... + 31419080194.

Almost surely, 212222022120000 is an apocalyptic number.

12222022120000 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 12222022120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19130410933920).

12222022120000 is an abundant number, since it is smaller than the sum of its proper divisors (26038799747840).

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

12222022120000 is an equidigital number, since it uses as much as digits as its factorization.

12222022120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 12222022120000 its reverse (2122022221), we get a palindrome (12224144142221).

The spelling of 12222022120000 in words is "twelve trillion, two hundred twenty-two billion, twenty-two million, one hundred twenty thousand".