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12220020110000 = 24542927417493
BaseRepresentation
bin1011000111010011000111…
…1101010011001010110000
31121021020000012201202021102
42301310301331103022300
53100203100122010000
641553444424343532
72400603330051113
oct261646175231260
947236005652242
1012220020110000
11399153285aa5a
1214543a4014ba8
136a845c607ba1
143036488dc57a
15162d0dc843d5
hexb1d31f532b0

12220020110000 has 100 divisors (see below), whose sum is σ = 29596069501152. Its totient is φ = 4886326368000.

The previous prime is 12220020109873. The next prime is 12220020110003. The reversal of 12220020110000 is 1102002221.

It is a happy number.

12220020110000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (100).

It is not an unprimeable number, because it can be changed into a prime (12220020110003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 29061254 + ... + 29478746.

Almost surely, 212220020110000 is an apocalyptic number.

12220020110000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12220020110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14798034750576).

12220020110000 is an abundant number, since it is smaller than the sum of its proper divisors (17376049391152).

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

12220020110000 is an equidigital number, since it uses as much as digits as its factorization.

12220020110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420448 (or 420427 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12220020110000 its reverse (1102002221), we get a palindrome (12221122112221).

The spelling of 12220020110000 in words is "twelve trillion, two hundred twenty billion, twenty million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 2927 5000 5854 10000 11708 14635 23416 29270 46832 58540 73175 117080 146350 234160 292700 365875 417493 585400 731750 834986 1170800 1463500 1669972 1829375 2087465 2927000 3339944 3658750 4174930 5854000 6679888 7317500 8349860 10437325 14635000 16699720 20874650 29270000 33399440 41749300 52186625 83498600 104373250 166997200 208746500 260933125 417493000 521866250 834986000 1043732500 1222002011 2087465000 2444004022 4174930000 4888008044 6110010055 9776016088 12220020110 19552032176 24440040220 30550050275 48880080440 61100100550 97760160880 122200201100 152750251375 244400402200 305500502750 488800804400 611001005500 763751256875 1222002011000 1527502513750 2444004022000 3055005027500 6110010055000 12220020110000