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12120012212 = 22721114593853
BaseRepresentation
bin10110100100110100…
…01011010110110100
31011021122221102011012
423102122023112310
5144310210342322
65322353531352
7606226255400
oct132232132664
934248842135
1012120012212
11515a481620
122422b73b58
1311b1c94179
1482d93c100
154ae079ae2
hex2d268b5b4

12120012212 has 72 divisors (see below), whose sum is σ = 26941309920. Its totient is φ = 4717621440.

The previous prime is 12120012211. The next prime is 12120012227. The reversal of 12120012212 is 21221002121.

12120012212 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 (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12120012211) 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 23 ways as a sum of consecutive naturals, for example, 3143678 + ... + 3147530.

It is an arithmetic number, because the mean of its divisors is an integer number (374184860).

Almost surely, 212120012212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12120012212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13470654960).

12120012212 is an abundant number, since it is smaller than the sum of its proper divisors (14821297708).

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

12120012212 is a wasteful number, since it uses less digits than its factorization.

12120012212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5341 (or 5332 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12120012212 its reverse (21221002121), we get a palindrome (33341014333).

The spelling of 12120012212 in words is "twelve billion, one hundred twenty million, twelve thousand, two hundred twelve".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 154 196 308 539 1078 1459 2156 2918 3853 5836 7706 10213 15412 16049 20426 26971 32098 40852 42383 53942 64196 71491 84766 107884 112343 142982 169532 188797 224686 285964 296681 377594 449372 593362 755188 786401 1186724 1572802 2076767 3145604 4153534 5621527 8307068 11243054 22486108 39350689 61836797 78701378 123673594 157402756 247347188 275454823 432857579 550909646 865715158 1101819292 1731430316 3030003053 6060006106 12120012212