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123121121340 = 223571683117417
BaseRepresentation
bin111001010101010010…
…1110011100000111100
3102202210112010000002010
41302222211303200330
54004123001340330
6132321104531220
711616025156350
oct1625245634074
9382715100063
10123121121340
1148240732848
121ba41020b10
13b7c19c9029
145d5da7b460
153308ec23b0
hex1caa97383c

123121121340 has 96 divisors (see below), whose sum is σ = 394033618944. Its totient is φ = 28138682880.

The previous prime is 123121121329. The next prime is 123121121341. The reversal of 123121121340 is 43121121321.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123121121341) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 7060312 + ... + 7077728.

It is an arithmetic number, because the mean of its divisors is an integer number (4104516864).

Almost surely, 2123121121340 is an apocalyptic number.

123121121340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123121121340 is an abundant number, since it is smaller than the sum of its proper divisors (270912497604).

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

123121121340 is a wasteful number, since it uses less digits than its factorization.

123121121340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34267 (or 34265 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 123121121340 its reverse (43121121321), we get a palindrome (166242242661).

The spelling of 123121121340 in words is "one hundred twenty-three billion, one hundred twenty-one million, one hundred twenty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 16831 17417 33662 34834 50493 52251 67324 69668 84155 87085 100986 104502 117817 121919 168310 174170 201972 209004 235634 243838 252465 261255 336620 348340 353451 365757 471268 487676 504930 522510 589085 609595 706902 731514 1009860 1045020 1178170 1219190 1413804 1463028 1767255 1828785 2356340 2438380 3534510 3657570 7069020 7315140 293145527 586291054 879436581 1172582108 1465727635 1758873162 2052018689 2931455270 3517746324 4104037378 4397182905 5862910540 6156056067 8208074756 8794365810 10260093445 12312112134 17588731620 20520186890 24624224268 30780280335 41040373780 61560560670 123121121340