Search a number
-
+
11212122012120 = 2332531144783367
BaseRepresentation
bin1010001100101000011010…
…0011001011100111011000
31110200212110001122101022200
42203022012203023213120
52432144411213341440
635502435554250200
72235022556425461
oct243120643134730
943625401571280
1011212122012120
113633041638247
121310b98b86960
136343b5c57763
142aa953555d68
151469bde50c30
hexa32868cb9d8

11212122012120 has 48 divisors (see below), whose sum is σ = 36439396540560. Its totient is φ = 2989899203136.

The previous prime is 11212122012109. The next prime is 11212122012149. The reversal of 11212122012120 is 2121022121211.

11212122012120 is a `hidden beast` number, since 112 + 121 + 220 + 1 + 212 + 0 = 666.

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 = 11212122012093 and 11212122012102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15572391324 + ... + 15572392043.

It is an arithmetic number, because the mean of its divisors is an integer number (759154094595).

Almost surely, 211212122012120 is an apocalyptic number.

11212122012120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11212122012120 is an abundant number, since it is smaller than the sum of its proper divisors (25227274528440).

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

11212122012120 is a wasteful number, since it uses less digits than its factorization.

11212122012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31144783384 (or 31144783377 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11212122012120 its reverse (2121022121211), we get a palindrome (13333144133331).

The spelling of 11212122012120 in words is "eleven trillion, two hundred twelve billion, one hundred twenty-two million, twelve 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 90 120 180 360 31144783367 62289566734 93434350101 124579133468 155723916835 186868700202 249158266936 280303050303 311447833670 373737400404 467171750505 560606100606 622895667340 747474800808 934343501010 1121212201212 1245791334680 1401515251515 1868687002020 2242424402424 2803030503030 3737374004040 5606061006060 11212122012120