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12120010210 = 2571189176857
BaseRepresentation
bin10110100100110100…
…01010110111100010
31011021122221022102001
423102122022313202
5144310210311320
65322353514214
7606226246510
oct132232126742
934248838361
1012120010210
11515a480070
122422b7296a
1311b1c93299
1482d93b4b0
154ae07920a
hex2d268ade2

12120010210 has 64 divisors (see below), whose sum is σ = 27504956160. Its totient is φ = 3735198720.

The previous prime is 12120010181. The next prime is 12120010211. The reversal of 12120010210 is 1201002121.

12120010210 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 (10).

It is not an unprimeable number, because it can be changed into a prime (12120010211) 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 31 ways as a sum of consecutive naturals, for example, 19899 + ... + 156958.

It is an arithmetic number, because the mean of its divisors is an integer number (429764940).

Almost surely, 212120010210 is an apocalyptic number.

12120010210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12120010210 is an abundant number, since it is smaller than the sum of its proper divisors (15384945950).

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

12120010210 is a wasteful number, since it uses less digits than its factorization.

12120010210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176971.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12120010210 its reverse (1201002121), we get a palindrome (13321012331).

The spelling of 12120010210 in words is "twelve billion, one hundred twenty million, ten thousand, two hundred ten".

Divisors: 1 2 5 7 10 11 14 22 35 55 70 77 89 110 154 178 385 445 623 770 890 979 1246 1958 3115 4895 6230 6853 9790 13706 34265 68530 176857 353714 884285 1237999 1768570 1945427 2475998 3890854 6189995 9727135 12379990 13617989 15740273 19454270 27235978 31480546 68089945 78701365 110181911 136179890 157402730 173143003 220363822 346286006 550909555 865715015 1101819110 1212001021 1731430030 2424002042 6060005105 12120010210