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222112221120 = 2633529398747
BaseRepresentation
bin1100111011011011101…
…0111000011111000000
3210020022101022220102000
43032312322320133000
512114341212033440
6250011551424000
722022101504656
oct3166672703700
9706271286360
10222112221120
1186219616209
1237068b25000
1317c394a349a
14aa70b14dd6
155b9e86d730
hex33b6eb87c0

222112221120 has 224 divisors, whose sum is σ = 783918777600. Its totient is φ = 59203003392.

The previous prime is 222112221077. The next prime is 222112221173. The reversal of 222112221120 is 21122211222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 222112221093 and 222112221102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25388587 + ... + 25397333.

It is an arithmetic number, because the mean of its divisors is an integer number (3499637400).

Almost surely, 2222112221120 is an apocalyptic number.

222112221120 is a gapful number since it is divisible by the number (20) 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 222112221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391959388800).

222112221120 is an abundant number, since it is smaller than the sum of its proper divisors (561806556480).

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

222112221120 is a wasteful number, since it uses less digits than its factorization.

222112221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11712 (or 11696 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 222112221120 its reverse (21122211222), we get a palindrome (243234432342).

It can be divided in two parts, 2 and 22112221120, that added together give a palindrome (22112221122).

The spelling of 222112221120 in words is "two hundred twenty-two billion, one hundred twelve million, two hundred twenty-one thousand, one hundred twenty".