Search a number
-
+
12011100120120 = 2335831205933747
BaseRepresentation
bin1010111011001000110101…
…0110110010010000111000
31120112020202012220122000110
42232302031112302100320
53033242213112320440
641313453452104320
72346526154330523
oct256621526622070
946466665818013
1012011100120120
1139109739863a2
12141b9b91650a0
136918462a05ba
142d74a9cb1bba
1515c68268a080
hexaec8d5b2438

12011100120120 has 64 divisors (see below), whose sum is σ = 36467436539520. Its totient is φ = 3164370149504.

The previous prime is 12011100120101. The next prime is 12011100120143. The reversal of 12011100120120 is 2102100111021.

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 = 12011100120096 and 12011100120105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 602956914 + ... + 602976833.

It is an arithmetic number, because the mean of its divisors is an integer number (569803695930).

Almost surely, 212011100120120 is an apocalyptic number.

12011100120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12011100120120 is an abundant number, since it is smaller than the sum of its proper divisors (24456336419400).

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

12011100120120 is a wasteful number, since it uses less digits than its factorization.

12011100120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205933844 (or 1205933840 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12011100120120 its reverse (2102100111021), we get a palindrome (14113200231141).

Subtracting from 12011100120120 its reverse (2102100111021), we obtain a palindrome (9909000009099).

The spelling of 12011100120120 in words is "twelve trillion, eleven billion, one hundred million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 83 120 166 249 332 415 498 664 830 996 1245 1660 1992 2490 3320 4980 9960 1205933747 2411867494 3617801241 4823734988 6029668735 7235602482 9647469976 12059337470 14471204964 18089006205 24118674940 28942409928 36178012410 48237349880 72356024820 100092501001 144712049640 200185002002 300277503003 400370004004 500462505005 600555006006 800740008008 1000925010010 1201110012012 1501387515015 2001850020020 2402220024024 3002775030030 4003700040040 6005550060060 12011100120120