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12002121106 = 222613265381
BaseRepresentation
bin10110010110110000…
…11101010110010010
31010222110002220221221
423023120131112102
5144040020333411
65302543035254
7603265226503
oct131330352622
933873086857
1012002121106
1150a9980258
1223ab59bb2a
131193728111
1481c010baa
154a3a3e071
hex2cb61d592

12002121106 has 8 divisors (see below), whose sum is σ = 18004045644. Its totient is φ = 6000772560.

The previous prime is 12002121049. The next prime is 12002121121. The reversal of 12002121106 is 60112120021.

12002121106 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 11976019225 + 26101881 = 109435^2 + 5109^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a super-2 number, since 2×120021211062 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12002121106.

It is an unprimeable number.

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, 87465 + ... + 177916.

Almost surely, 212002121106 is an apocalyptic number.

12002121106 is a deficient number, since it is larger than the sum of its proper divisors (6001924538).

12002121106 is a wasteful number, since it uses less digits than its factorization.

12002121106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287996.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 12002121106 its reverse (60112120021), we get a palindrome (72114241127).

The spelling of 12002121106 in words is "twelve billion, two million, one hundred twenty-one thousand, one hundred six".

Divisors: 1 2 22613 45226 265381 530762 6001060553 12002121106