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11221212000 = 2535337127199
BaseRepresentation
bin10100111001101011…
…00001101101100000
31001222000200122001110
422130311201231200
5140440112241000
65053245303320
7545033504535
oct123465415540
931860618043
1011221212000
114839099729
122211b64b40
13109a9ca91b
14786414d8c
1545a1d8850
hex29cd61b60

11221212000 has 384 divisors, whose sum is σ = 38242713600. Its totient is φ = 2874009600.

The previous prime is 11221211983. The next prime is 11221212001. The reversal of 11221212000 is 21212211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11221212001) 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, 56387901 + ... + 56388099.

It is an arithmetic number, because the mean of its divisors is an integer number (99590400).

Almost surely, 211221212000 is an apocalyptic number.

11221212000 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 11221212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19121356800).

11221212000 is an abundant number, since it is smaller than the sum of its proper divisors (27021501600).

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

11221212000 is a wasteful number, since it uses less digits than its factorization.

11221212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11221212000 its reverse (21212211), we get a palindrome (11242424211).

The spelling of 11221212000 in words is "eleven billion, two hundred twenty-one million, two hundred twelve thousand".