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12011230111120 = 2451871274929191
BaseRepresentation
bin1010111011001001010100…
…0110101010010110010000
31120112021002021111212010221
42232302111012222112100
53033242444402023440
641313514414202424
72346532323253162
oct256622506522620
946467067455127
1012011230111120
113910a302a1579
12141ba347b3414
136918671b4c56
142d74bd26c932
1515c68dcb5d4a
hexaec951aa590

12011230111120 has 80 divisors (see below), whose sum is σ = 27952157376000. Its totient is φ = 4800012940800.

The previous prime is 12011230111091. The next prime is 12011230111129. The reversal of 12011230111120 is 2111103211021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 12011230111094 and 12011230111103.

It is not an unprimeable number, because it can be changed into a prime (12011230111129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 411455725 + ... + 411484915.

It is an arithmetic number, because the mean of its divisors is an integer number (349401967200).

Almost surely, 212011230111120 is an apocalyptic number.

12011230111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12011230111120 is an abundant number, since it is smaller than the sum of its proper divisors (15940927264880).

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

12011230111120 is a wasteful number, since it uses less digits than its factorization.

12011230111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33824 (or 33818 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 12011230111120 its reverse (2111103211021), we get a palindrome (14122333322141).

The spelling of 12011230111120 in words is "twelve trillion, eleven billion, two hundred thirty million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1871 2749 3742 5498 7484 9355 10996 13745 14968 18710 21992 27490 29191 29936 37420 43984 54980 58382 74840 109960 116764 145955 149680 219920 233528 291910 467056 583820 1167640 2335280 5143379 10286758 20573516 25716895 41147032 51433790 54616361 80246059 82294064 102867580 109232722 160492118 205735160 218465444 273081805 320984236 401230295 411470320 436930888 546163610 641968472 802460590 873861776 1092327220 1283936944 1604921180 2184654440 3209842360 4369308880 6419684720 150140376389 300280752778 600561505556 750701881945 1201123011112 1501403763890 2402246022224 3002807527780 6005615055560 12011230111120