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12221222200000 = 26551110155001
BaseRepresentation
bin1011000111010111100110…
…0110111010001011000000
31121021100002222200020202021
42301311321212322023000
53100213030340400000
641554204005331224
72400645164462512
oct261657146721300
947240088606667
1012221222200000
113991a9a363a70
12145467a706b14
136a85c1681748
14303720413bb2
15162d7e58411a
hexb1d799ba2c0

12221222200000 has 336 divisors, whose sum is σ = 33396108199776. Its totient is φ = 4400000000000.

The previous prime is 12221222199941. The next prime is 12221222200003. The reversal of 12221222200000 is 222212221.

12221222200000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (12221222200003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 222172500 + ... + 222227500.

It is an arithmetic number, because the mean of its divisors is an integer number (99393179166).

Almost surely, 212221222200000 is an apocalyptic number.

12221222200000 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 12221222200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16698054099888).

12221222200000 is an abundant number, since it is smaller than the sum of its proper divisors (21174885999776).

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

12221222200000 is an equidigital number, since it uses as much as digits as its factorization.

12221222200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55150 (or 55120 counting only the distinct ones).

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

Adding to 12221222200000 its reverse (222212221), we get a palindrome (12221444412221).

The spelling of 12221222200000 in words is "twelve trillion, two hundred twenty-one billion, two hundred twenty-two million, two hundred thousand".