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12211012420 = 225610550621
BaseRepresentation
bin10110101111101010…
…10100001101000100
31011112000011200222021
423113311110031010
5200002004344140
65335404212524
7611412615205
oct132765241504
934460150867
1012211012420
1151a6886402
12244953a144
1311c7aa6449
1483ba695ac
154b7052b4a
hex2d7d54344

12211012420 has 12 divisors (see below), whose sum is σ = 25643126124. Its totient is φ = 4884404960.

The previous prime is 12211012403. The next prime is 12211012421. The reversal of 12211012420 is 2421011221.

12211012420 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 7278478596 + 4932533824 = 85314^2 + 70232^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12211012394 and 12211012403.

It is not an unprimeable number, because it can be changed into a prime (12211012421) 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 3 ways as a sum of consecutive naturals, for example, 305275291 + ... + 305275330.

It is an arithmetic number, because the mean of its divisors is an integer number (2136927177).

Almost surely, 212211012420 is an apocalyptic number.

12211012420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211012420 is an abundant number, since it is smaller than the sum of its proper divisors (13432113704).

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

12211012420 is a wasteful number, since it uses less digits than its factorization.

12211012420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610550630 (or 610550628 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12211012420 its reverse (2421011221), we get a palindrome (14632023641).

The spelling of 12211012420 in words is "twelve billion, two hundred eleven million, twelve thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 610550621 1221101242 2442202484 3052753105 6105506210 12211012420