Search a number
-
+
123210112211120 = 24511894115659489
BaseRepresentation
bin11100000000111100010110…
…111110001001100010110000
3121011020202211120020112201202
4130000330112332021202300
5112122133302211223440
61114013535534150332
734644431303601314
oct3400742676114260
9534222746215652
10123210112211120
113629312a297a60
121199ab413523a8
135399882293acc
14225d589059b44
15e39e9ee94615
hex700f16f898b0

123210112211120 has 80 divisors (see below), whose sum is σ = 312540620182560. Its totient is φ = 44798663270400.

The previous prime is 123210112211093. The next prime is 123210112211129. The reversal of 123210112211120 is 21112211012321.

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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 123210112211092 and 123210112211101.

It is not an unprimeable number, because it can be changed into a prime (123210112211129) 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, 38336 + ... + 15697824.

It is an arithmetic number, because the mean of its divisors is an integer number (3906757752282).

Almost surely, 2123210112211120 is an apocalyptic number.

123210112211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123210112211120 is an abundant number, since it is smaller than the sum of its proper divisors (189330507971440).

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

123210112211120 is a wasteful number, since it uses less digits than its factorization.

123210112211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15668454 (or 15668448 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 20.

Adding to 123210112211120 its reverse (21112211012321), we get a palindrome (144322323223441).

The spelling of 123210112211120 in words is "one hundred twenty-three trillion, two hundred ten billion, one hundred twelve million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 8941 17882 35764 44705 71528 89410 98351 143056 178820 196702 357640 393404 491755 715280 786808 983510 1573616 1967020 3934040 7868080 15659489 31318978 62637956 78297445 125275912 156594890 172254379 250551824 313189780 344508758 626379560 689017516 861271895 1252759120 1378035032 1722543790 2756070064 3445087580 6890175160 13780350320 140011491149 280022982298 560045964596 700057455745 1120091929192 1400114911490 1540126402639 2240183858384 2800229822980 3080252805278 5600459645960 6160505610556 7700632013195 11200919291920 12321011221112 15401264026390 24642022442224 30802528052780 61605056105560 123210112211120