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121324003344 = 24321495654549
BaseRepresentation
bin111000011111101111…
…0010110000000010000
3102121011021111221122100
41300333132112000100
53441432421101334
6131422510240400
711523344004315
oct1607736260020
9377137457570
10121324003344
11474a9267465
121b61b1b6100
13b5965a79bb
145c2d114d0c
153251337c99
hex1c3f796010

121324003344 has 60 divisors (see below), whose sum is σ = 341817547500. Its totient is φ = 40169908992.

The previous prime is 121324003319. The next prime is 121324003349. The reversal of 121324003344 is 443300423121.

121324003344 is a `hidden beast` number, since 1 + 2 + 1 + 324 + 0 + 0 + 334 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 75673407744 + 45650595600 = 275088^2 + 213660^2 .

It is not an unprimeable number, because it can be changed into a prime (121324003349) 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 11 ways as a sum of consecutive naturals, for example, 2805819 + ... + 2848730.

It is an arithmetic number, because the mean of its divisors is an integer number (5696959125).

Almost surely, 2121324003344 is an apocalyptic number.

It is an amenable number.

121324003344 is an abundant number, since it is smaller than the sum of its proper divisors (220493544156).

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

121324003344 is a wasteful number, since it uses less digits than its factorization.

121324003344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5654712 (or 5654703 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 121324003344 its reverse (443300423121), we get a palindrome (564624426465).

The spelling of 121324003344 in words is "one hundred twenty-one billion, three hundred twenty-four million, three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 149 298 447 596 894 1192 1341 1788 2384 2682 3576 5364 7152 10728 21456 5654549 11309098 16963647 22618196 33927294 45236392 50890941 67854588 90472784 101781882 135709176 203563764 271418352 407127528 814255056 842527801 1685055602 2527583403 3370111204 5055166806 6740222408 7582750209 10110333612 13480444816 15165500418 20220667224 30331000836 40441334448 60662001672 121324003344