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110221212000 = 2535343227941
BaseRepresentation
bin110011010100110110…
…0100011100101100000
3101112111111122201012010
41212221230203211200
53301213112241000
6122345051032520
710651245562254
oct1465154434540
9345444581163
10110221212000
1142821000a49
1219440a3b740
13a5172a0193
145498728264
152d01741d50
hex19a9b23960

110221212000 has 384 divisors, whose sum is σ = 371504060928. Its totient is φ = 28551936000.

The previous prime is 110221211983. The next prime is 110221212001. The reversal of 110221212000 is 212122011.

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 (110221212001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 117131530 + ... + 117132470.

It is an arithmetic number, because the mean of its divisors is an integer number (967458492).

Almost surely, 2110221212000 is an apocalyptic number.

110221212000 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 110221212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185752030464).

110221212000 is an abundant number, since it is smaller than the sum of its proper divisors (261282848928).

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

110221212000 is a wasteful number, since it uses less digits than its factorization.

110221212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239 (or 1221 counting only the distinct ones).

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

Adding to 110221212000 its reverse (212122011), we get a palindrome (110433334011).

The spelling of 110221212000 in words is "one hundred ten billion, two hundred twenty-one million, two hundred twelve thousand".