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11123322120 = 23325163189559
BaseRepresentation
bin10100101110000000…
…00110110100001000
31001201012111022101100
422113000012310020
5140240032301440
65035431221400
7542434451361
oct122700066410
931635438340
1011123322120
1147989095a9
1221a5217860
131083645711
14777412b68
154517ee230
hex297006d08

11123322120 has 96 divisors (see below), whose sum is σ = 36372772800. Its totient is φ = 2948006016.

The previous prime is 11123322103. The next prime is 11123322121. The reversal of 11123322120 is 2122332111.

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 = 11123322093 and 11123322102.

It is not an unprimeable number, because it can be changed into a prime (11123322121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36100 + ... + 153459.

It is an arithmetic number, because the mean of its divisors is an integer number (378883050).

Almost surely, 211123322120 is an apocalyptic number.

11123322120 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 11123322120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18186386400).

11123322120 is an abundant number, since it is smaller than the sum of its proper divisors (25249450680).

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

11123322120 is a wasteful number, since it uses less digits than its factorization.

11123322120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189739 (or 189732 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11123322120 its reverse (2122332111), we get a palindrome (13245654231).

Subtracting from 11123322120 its reverse (2122332111), we obtain a palindrome (9000990009).

The spelling of 11123322120 in words is "eleven billion, one hundred twenty-three million, three hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 163 180 326 360 489 652 815 978 1304 1467 1630 1956 2445 2934 3260 3912 4890 5868 6520 7335 9780 11736 14670 19560 29340 58680 189559 379118 568677 758236 947795 1137354 1516472 1706031 1895590 2274708 2843385 3412062 3791180 4549416 5686770 6824124 7582360 8530155 11373540 13648248 17060310 22747080 30898117 34120620 61796234 68241240 92694351 123592468 154490585 185388702 247184936 278083053 308981170 370777404 463471755 556166106 617962340 741554808 926943510 1112332212 1235924680 1390415265 1853887020 2224664424 2780830530 3707774040 5561661060 11123322120