Search a number
-
+
12120012210 = 2351572573251
BaseRepresentation
bin10110100100110100…
…01011010110110010
31011021122221102011010
423102122023112302
5144310210342320
65322353531350
7606226255365
oct132232132662
934248842133
1012120012210
11515a481619
122422b73b56
1311b1c94177
1482d93c0dc
154ae079ae0
hex2d268b5b2

12120012210 has 32 divisors (see below), whose sum is σ = 29273314752. Its totient is φ = 3211416000.

The previous prime is 12120012199. The next prime is 12120012211. The reversal of 12120012210 is 1221002121.

12120012210 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

12120012210 is a modest number, since divided by 12210 gives 12120 as remainder.

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 15 ways as a sum of consecutive naturals, for example, 1281916 + ... + 1291335.

It is an arithmetic number, because the mean of its divisors is an integer number (914791086).

Almost surely, 212120012210 is an apocalyptic number.

12120012210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12120012210 is an abundant number, since it is smaller than the sum of its proper divisors (17153302542).

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

12120012210 is a wasteful number, since it uses less digits than its factorization.

12120012210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2573418.

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

Adding to 12120012210 its reverse (1221002121), we get a palindrome (13341014331).

The spelling of 12120012210 in words is "twelve billion, one hundred twenty million, twelve thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 157 314 471 785 942 1570 2355 4710 2573251 5146502 7719753 12866255 15439506 25732510 38598765 77197530 404000407 808000814 1212001221 2020002035 2424002442 4040004070 6060006105 12120012210