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1120221120 = 26351783827
BaseRepresentation
bin100001011000101…
…0011011111000000
32220001220010111010
41002301103133000
54243234033440
6303054120520
736521502534
oct10261233700
92801803433
101120221120
11525376787
122731b0140
1314b110945
14a8ac3bc4
156852c580
hex42c537c0

1120221120 has 224 divisors, whose sum is σ = 3815900928. Its totient is φ = 277430272.

The previous prime is 1120221119. The next prime is 1120221121. The reversal of 1120221120 is 211220211.

It is an interprime number because it is at equal distance from previous prime (1120221119) and next prime (1120221121).

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

It is a junction number, because it is equal to n+sod(n) for n = 1120221096 and 1120221105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1120221121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1354147 + ... + 1354973.

It is an arithmetic number, because the mean of its divisors is an integer number (17035272).

Almost surely, 21120221120 is an apocalyptic number.

1120221120 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 1120221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1907950464).

1120221120 is an abundant number, since it is smaller than the sum of its proper divisors (2695679808).

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

1120221120 is a wasteful number, since it uses less digits than its factorization.

1120221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947 (or 937 counting only the distinct ones).

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

The square root of 1120221120 is about 33469.7045101985. The cubic root of 1120221120 is about 1038.5671589859.

Adding to 1120221120 its reverse (211220211), we get a palindrome (1331441331).

Subtracting from 1120221120 its reverse (211220211), we obtain a palindrome (909000909).

The spelling of 1120221120 in words is "one billion, one hundred twenty million, two hundred twenty-one thousand, one hundred twenty".