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12120110310 = 2357211749543
BaseRepresentation
bin10110100100110101…
…00011010011100110
31011021200010101201110
423102122203103212
5144310222012220
65322400005450
7606230144400
oct132232432346
934250111643
1012120110310
11515a5392a0
122423000886
1311b1cc9a09
1482d965b70
154ae098be0
hex2d26a34e6

12120110310 has 96 divisors (see below), whose sum is σ = 36913542912. Its totient is φ = 2518461120.

The previous prime is 12120110257. The next prime is 12120110311. The reversal of 12120110310 is 1301102121.

12120110310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×121201103102 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12120110311) 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 47 ways as a sum of consecutive naturals, for example, 358602 + ... + 390941.

It is an arithmetic number, because the mean of its divisors is an integer number (384516072).

Almost surely, 212120110310 is an apocalyptic number.

12120110310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12120110310 is an abundant number, since it is smaller than the sum of its proper divisors (24793432602).

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

12120110310 is a wasteful number, since it uses less digits than its factorization.

12120110310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749578 (or 749571 counting only the distinct ones).

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

Adding to 12120110310 its reverse (1301102121), we get a palindrome (13421212431).

The spelling of 12120110310 in words is "twelve billion, one hundred twenty million, one hundred ten thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 49 55 66 70 77 98 105 110 147 154 165 210 231 245 294 330 385 462 490 539 735 770 1078 1155 1470 1617 2310 2695 3234 5390 8085 16170 749543 1499086 2248629 3747715 4497258 5246801 7495430 8244973 10493602 11243145 15740403 16489946 22486290 24734919 26234005 31480806 36727607 41224865 49469838 52468010 57714811 73455214 78702015 82449730 110182821 115429622 123674595 157404030 173144433 183638035 220365642 247349190 288574055 346288866 367276070 404003677 550914105 577148110 808007354 865722165 1101828210 1212011031 1731444330 2020018385 2424022062 4040036770 6060055155 12120110310