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12200121102020 = 225610006055101
BaseRepresentation
bin1011000110001000111111…
…1000100110111011000100
31121012022122102020102000212
42301202033320212323010
53044341322000231040
641540354103454552
72366300242220435
oct261421770467304
947168572212025
1012200121102020
11398405133a815
12145056ba57458
136a660ab30457
143026bbbc548c
15162546d16d65
hexb188fe26ec4

12200121102020 has 12 divisors (see below), whose sum is σ = 25620254314284. Its totient is φ = 4880048440800.

The previous prime is 12200121102011. The next prime is 12200121102023. The reversal of 12200121102020 is 2020112100221.

12200121102020 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 2 ways, for example, as 4657067584576 + 7543053517444 = 2158024^2 + 2746462^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12200121101986 and 12200121102004.

It is not an unprimeable number, because it can be changed into a prime (12200121102023) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 305003027531 + ... + 305003027570.

It is an arithmetic number, because the mean of its divisors is an integer number (2135021192857).

Almost surely, 212200121102020 is an apocalyptic number.

12200121102020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12200121102020 is an abundant number, since it is smaller than the sum of its proper divisors (13420133212264).

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

12200121102020 is a wasteful number, since it uses less digits than its factorization.

12200121102020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610006055110 (or 610006055108 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12200121102020 its reverse (2020112100221), we get a palindrome (14220233202241).

The spelling of 12200121102020 in words is "twelve trillion, two hundred billion, one hundred twenty-one million, one hundred two thousand, twenty".

Divisors: 1 2 4 5 10 20 610006055101 1220012110202 2440024220404 3050030275505 6100060551010 12200121102020