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12220001020000 = 25544997611609
BaseRepresentation
bin1011000111010011000011…
…0100011110100001100000
31121021012221212210212201101
42301310300310132201200
53100203030230120000
641553442503244144
72400603005562124
oct261646064364140
947235855725641
1012220001020000
1139915230013a4
121454399749654
136a8458682a27
1430364616d584
15162d0c262e6a
hexb1d30d1e860

12220001020000 has 240 divisors, whose sum is σ = 30181612230000. Its totient is φ = 4868766720000.

The previous prime is 12220001019991. The next prime is 12220001020057. The reversal of 12220001020000 is 2010002221.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 7594779196 + ... + 7594780804.

It is an arithmetic number, because the mean of its divisors is an integer number (125756717625).

Almost surely, 212220001020000 is an apocalyptic number.

12220001020000 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 12220001020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15090806115000).

12220001020000 is an abundant number, since it is smaller than the sum of its proper divisors (17961611210000).

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

12220001020000 is an equidigital number, since it uses as much as digits as its factorization.

12220001020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2899 (or 2876 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 12220001020000 its reverse (2010002221), we get a palindrome (12222011022221).

The spelling of 12220001020000 in words is "twelve trillion, two hundred twenty billion, one million, twenty thousand".