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12011201220 = 22352337673511
BaseRepresentation
bin10110010111110110…
…00110001011000100
31011000002012020112110
423023323012023010
5144044331414340
65303505421020
7603435345234
oct131373061304
934002166473
1012011201220
115104012287
1223b263a770
131195587075
1481d2d5cc4
154a4734680
hex2cbec62c4

12011201220 has 192 divisors, whose sum is σ = 36590432256. Its totient is φ = 2935595520.

The previous prime is 12011201173. The next prime is 12011201221. The reversal of 12011201220 is 2210211021.

12011201220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12011201196 and 12011201205.

It is not an unprimeable number, because it can be changed into a prime (12011201221) 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 63 ways as a sum of consecutive naturals, for example, 3419265 + ... + 3422775.

It is an arithmetic number, because the mean of its divisors is an integer number (190575168).

Almost surely, 212011201220 is an apocalyptic number.

12011201220 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 12011201220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18295216128).

12011201220 is an abundant number, since it is smaller than the sum of its proper divisors (24579231036).

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

12011201220 is a wasteful number, since it uses less digits than its factorization.

12011201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3650 (or 3648 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12011201220 its reverse (2210211021), we get a palindrome (14221412241).

The spelling of 12011201220 in words is "twelve billion, eleven million, two hundred one thousand, two hundred twenty".