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121212144324 = 22324182122049
BaseRepresentation
bin111000011100011001…
…1101000101011000100
3102120212111000220220200
41300320303220223010
53441220302104244
6131403432530500
711520515140605
oct1607063505304
9376774026820
10121212144324
1147451106097
121b5a9850a30
13b57937142b
145c1c317dac
1532465de669
hex1c38ce8ac4

121212144324 has 36 divisors (see below), whose sum is σ = 313870475100. Its totient is φ = 39418583040.

The previous prime is 121212144307. The next prime is 121212144331. The reversal of 121212144324 is 423441212121.

121212144324 is a `hidden beast` number, since 1 + 2 + 1 + 212 + 1 + 443 + 2 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 18997660224 + 102214484100 = 137832^2 + 319710^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 41059549 + ... + 41062500.

Almost surely, 2121212144324 is an apocalyptic number.

It is an amenable number.

121212144324 is an abundant number, since it is smaller than the sum of its proper divisors (192658330776).

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

121212144324 is a wasteful number, since it uses less digits than its factorization.

121212144324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82122100 (or 82122095 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 121212144324 its reverse (423441212121), we get a palindrome (544653356445).

The spelling of 121212144324 in words is "one hundred twenty-one billion, two hundred twelve million, one hundred forty-four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 82122049 164244098 246366147 328488196 492732294 739098441 985464588 1478196882 2956393764 3367004009 6734008018 10101012027 13468016036 20202024054 30303036081 40404048108 60606072162 121212144324