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12002211220 = 225600110561
BaseRepresentation
bin10110010110110001…
…10011010110010100
31010222110021111120111
423023120303112110
5144040031224340
65302545012404
7603266053306
oct131330632624
933873244514
1012002211220
1150a9a31a2a
1223ab624104
13119375a13c
1481c035976
154a3a5aaea
hex2cb633594

12002211220 has 12 divisors (see below), whose sum is σ = 25204643604. Its totient is φ = 4800884480.

The previous prime is 12002211217. The next prime is 12002211229. The reversal of 12002211220 is 2211220021.

It is a happy number.

12002211220 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 8446712836 + 3555498384 = 91906^2 + 59628^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12002211220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002211229) 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, 300055261 + ... + 300055300.

It is an arithmetic number, because the mean of its divisors is an integer number (2100386967).

Almost surely, 212002211220 is an apocalyptic number.

12002211220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12002211220 is an abundant number, since it is smaller than the sum of its proper divisors (13202432384).

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

12002211220 is a wasteful number, since it uses less digits than its factorization.

12002211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600110570 (or 600110568 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12002211220 its reverse (2211220021), we get a palindrome (14213431241).

The spelling of 12002211220 in words is "twelve billion, two million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 600110561 1200221122 2400442244 3000552805 6001105610 12002211220