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12221110000000 = 275711241461
BaseRepresentation
bin1011000111010111001011…
…1010111001100110000000
31121021022211011112220021201
42301311302322321212000
53100212313130000000
641554144520430544
72400642333006016
oct261656272714600
947238734486251
1012221110000000
113991a41a9a4a0
121454649018454
136a85a4358c05
1430370d5688b6
15162d747be96a
hexb1d72eb9980

12221110000000 has 512 divisors, whose sum is σ = 33410094157440. Its totient is φ = 4416000000000.

The previous prime is 12221109999971. The next prime is 12221110000007. The reversal of 12221110000000 is 1112221.

12221110000000 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 (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12221110000007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26509999770 + ... + 26510000230.

Almost surely, 212221110000000 is an apocalyptic number.

12221110000000 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 12221110000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16705047078720).

12221110000000 is an abundant number, since it is smaller than the sum of its proper divisors (21188984157440).

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

12221110000000 is an frugal number, since it uses more digits than its factorization.

12221110000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12221110000000 its reverse (1112221), we get a palindrome (12221111112221).

The spelling of 12221110000000 in words is "twelve trillion, two hundred twenty-one billion, one hundred ten million", and thus it is an aban number.