Search a number
-
+
12112101011020 = 22517191874938237
BaseRepresentation
bin1011000001000001000101…
…1110100110111001001100
31120212220110010220111110111
42300100101132212321030
53041421040324323040
641432120011445404
72360033103620353
oct260202136467114
946786403814414
1012112101011020
11394a79329365a
1214374a6156864
1369b22126c87a
142dc32bc3299a
151600e46cedea
hexb04117a6e4c

12112101011020 has 48 divisors (see below), whose sum is σ = 28349066158560. Its totient is φ = 4319857695744.

The previous prime is 12112101011011. The next prime is 12112101011033. The reversal of 12112101011020 is 2011010121121.

It is a happy number.

It is a super-3 number, since 3×121121010110203 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 937462659 + ... + 937475578.

It is an arithmetic number, because the mean of its divisors is an integer number (590605544970).

Almost surely, 212112101011020 is an apocalyptic number.

12112101011020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12112101011020 is an abundant number, since it is smaller than the sum of its proper divisors (16236965147540).

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

12112101011020 is a wasteful number, since it uses less digits than its factorization.

12112101011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1874938282 (or 1874938280 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 12112101011020 its reverse (2011010121121), we get a palindrome (14123111132141).

The spelling of 12112101011020 in words is "twelve trillion, one hundred twelve billion, one hundred one million, eleven thousand, twenty".

Divisors: 1 2 4 5 10 17 19 20 34 38 68 76 85 95 170 190 323 340 380 646 1292 1615 3230 6460 1874938237 3749876474 7499752948 9374691185 18749382370 31873950029 35623826503 37498764740 63747900058 71247653006 127495800116 142495306012 159369750145 178119132515 318739500290 356238265030 605605050551 637479000580 712476530060 1211210101102 2422420202204 3028025252755 6056050505510 12112101011020