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12111201220000 = 2554605560061
BaseRepresentation
bin1011000000111101101111…
…0110001011010110100000
31120212211010102210101020011
42300033123312023112200
53041412220003020000
641431450430054304
72360001566542051
oct260173366132640
946784112711204
1012111201220000
11394a371394313
12143729494a394
1369b109a1a34c
142dc28452c728
151600906e52ba
hexb03dbd8b5a0

12111201220000 has 60 divisors (see below), whose sum is σ = 29795371730586. Its totient is φ = 4844480480000.

The previous prime is 12111201219979. The next prime is 12111201220007. The reversal of 12111201220000 is 2210211121.

12111201220000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 570151847056 + 11541049372944 = 755084^2 + 3397212^2 .

It is not an unprimeable number, because it can be changed into a prime (12111201220007) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 302760031 + ... + 302800030.

Almost surely, 212111201220000 is an apocalyptic number.

12111201220000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12111201220000 is an abundant number, since it is smaller than the sum of its proper divisors (17684170510586).

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

12111201220000 is an frugal number, since it uses more digits than its factorization.

12111201220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605560091 (or 605560068 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12111201220000 its reverse (2210211121), we get a palindrome (12113411431121).

The spelling of 12111201220000 in words is "twelve trillion, one hundred eleven billion, two hundred one million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 10000 20000 605560061 1211120122 2422240244 3027800305 4844480488 6055600610 9688960976 12111201220 15139001525 19377921952 24222402440 30278003050 48444804880 60556006100 75695007625 96889609760 121112012200 151390015250 242224024400 302780030500 378475038125 484448048800 605560061000 756950076250 1211120122000 1513900152500 2422240244000 3027800305000 6055600610000 12111201220000