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12202120320 = 2735134311369
BaseRepresentation
bin10110101110100110…
…11001010010000000
31011111101102221022020
423113103121102000
5144442220322240
65334445441440
7611244211545
oct132723312200
934441387266
1012202120320
1151a1862665
122446570280
1311c5cb1c50
1483a7d2bcc
154b63980d0
hex2d74d9480

12202120320 has 256 divisors, whose sum is σ = 42863990400. Its totient is φ = 2933489664.

The previous prime is 12202120297. The next prime is 12202120327. The reversal of 12202120320 is 2302120221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12202120320.

It is not an unprimeable number, because it can be changed into a prime (12202120327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1067596 + ... + 1078964.

Almost surely, 212202120320 is an apocalyptic number.

12202120320 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 12202120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21431995200).

12202120320 is an abundant number, since it is smaller than the sum of its proper divisors (30661870080).

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

12202120320 is a wasteful number, since it uses less digits than its factorization.

12202120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11447 (or 11435 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 12202120320 its reverse (2302120221), we get a palindrome (14504240541).

Subtracting from 12202120320 its reverse (2302120221), we obtain a palindrome (9900000099).

The spelling of 12202120320 in words is "twelve billion, two hundred two million, one hundred twenty thousand, three hundred twenty".