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11220123000 = 2335315592399
BaseRepresentation
bin10100111001100010…
…10111110101111000
31001221221122022020010
422130301113311320
5140434322414000
65053210101520
7545021320602
oct123461276570
931857568203
1011220123000
114838515529
12221171a8a0
13109a709048
14786210172
1545a070d50
hex29cc57d78

11220123000 has 128 divisors (see below), whose sum is σ = 35043840000. Its totient is φ = 2988867200.

The previous prime is 11220122989. The next prime is 11220123077. The reversal of 11220123000 is 32102211.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4675801 + ... + 4678199.

It is an arithmetic number, because the mean of its divisors is an integer number (273780000).

Almost surely, 211220123000 is an apocalyptic number.

11220123000 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 11220123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17521920000).

11220123000 is an abundant number, since it is smaller than the sum of its proper divisors (23823717000).

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

11220123000 is a wasteful number, since it uses less digits than its factorization.

11220123000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3982 (or 3968 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 11220123000 its reverse (32102211), we get a palindrome (11252225211).

The spelling of 11220123000 in words is "eleven billion, two hundred twenty million, one hundred twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 1559 2399 3000 3118 4677 4798 6236 7197 7795 9354 9596 11995 12472 14394 15590 18708 19192 23385 23990 28788 31180 35985 37416 38975 46770 47980 57576 59975 62360 71970 77950 93540 95960 116925 119950 143940 155900 179925 187080 194875 233850 239900 287880 299875 311800 359850 389750 467700 479800 584625 599750 719700 779500 899625 935400 1169250 1199500 1439400 1559000 1799250 2338500 2399000 3598500 3740041 4677000 7197000 7480082 11220123 14960164 18700205 22440246 29920328 37400410 44880492 56100615 74800820 89760984 93501025 112201230 149601640 187002050 224402460 280503075 374004100 448804920 467505125 561006150 748008200 935010250 1122012300 1402515375 1870020500 2244024600 2805030750 3740041000 5610061500 11220123000