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12121323210 = 2325373640037
BaseRepresentation
bin10110100100111110…
…01011011011001010
31011021202102000111200
423102133023123022
5144311024320320
65322442005030
7606243355503
oct132237133312
934252360450
1012121323210
115160197597
1224234a6776
1311b2332ac9
1482db9dbaa
154ae238290
hex2d27cb6ca

12121323210 has 48 divisors (see below), whose sum is σ = 32367217896. Its totient is φ = 3144991104.

The previous prime is 12121323197. The next prime is 12121323233. The reversal of 12121323210 is 1232312121.

12121323210 is a `hidden beast` number, since 1 + 212 + 132 + 321 + 0 = 666.

12121323210 is digitally balanced in base 5, 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 4 ways, for example, as 11629681281 + 491641929 = 107841^2 + 22173^2 .

It is a super-2 number, since 2×121213232102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1816689 + ... + 1823348.

Almost surely, 212121323210 is an apocalyptic number.

12121323210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12121323210 is an abundant number, since it is smaller than the sum of its proper divisors (20245894686).

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

12121323210 is a wasteful number, since it uses less digits than its factorization.

12121323210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3640087 (or 3640084 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12121323210 its reverse (1232312121), we get a palindrome (13353635331).

The spelling of 12121323210 in words is "twelve billion, one hundred twenty-one million, three hundred twenty-three thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 3330 3640037 7280074 10920111 18200185 21840222 32760333 36400370 54600555 65520666 109201110 134681369 163801665 269362738 327603330 404044107 673406845 808088214 1212132321 1346813690 2020220535 2424264642 4040441070 6060661605 12121323210