Search a number
-
+
12120102011022 = 2361831135135149
BaseRepresentation
bin1011000001011110111001…
…1000000000000010001110
31120220200002202012102002220
42300113232120000002032
53042033432103323042
641435521545000210
72360435266164105
oct260275630000216
946820082172086
1012120102011022
113953119684355
121438b59783066
1369bbc7a72bb5
142dc88a6bb03c
15160411d268ec
hexb05ee60008e

12120102011022 has 64 divisors (see below), whose sum is σ = 24937328908800. Its totient is φ = 3925469232000.

The previous prime is 12120102011021. The next prime is 12120102011029. The reversal of 12120102011022 is 22011020102121.

It is a junction number, because it is equal to n+sod(n) for n = 12120102010992 and 12120102011010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12120102011021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 344803104 + ... + 344838252.

It is an arithmetic number, because the mean of its divisors is an integer number (389645764200).

Almost surely, 212120102011022 is an apocalyptic number.

12120102011022 is an abundant number, since it is smaller than the sum of its proper divisors (12817226897778).

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

12120102011022 is a wasteful number, since it uses less digits than its factorization.

12120102011022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46649.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12120102011022 its reverse (22011020102121), we get a palindrome (34131122113143).

The spelling of 12120102011022 in words is "twelve trillion, one hundred twenty billion, one hundred two million, eleven thousand, twenty-two".

Divisors: 1 2 3 6 61 83 122 166 183 249 366 498 5063 10126 11351 15189 22702 30378 34053 35149 68106 70298 105447 210894 692411 942133 1384822 1884266 2077233 2144089 2826399 2917367 4154466 4288178 5652798 5834734 6432267 8752101 12864534 17504202 57470113 114940226 172410339 177959387 344820678 355918774 398976299 533878161 797952598 1067756322 1196928897 2393857794 24337554239 33115032817 48675108478 66230065634 73012662717 99345098451 146025325434 198690196902 2020017001837 4040034003674 6060051005511 12120102011022