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121451265144 = 233211213940687
BaseRepresentation
bin111000100011100001…
…1110011110001111000
3102121111010222112000100
41301013003303301320
53442213010441034
6131443254035400
711526450502056
oct1610703636170
9377433875010
10121451265144
1147564089100
121b655948b60
13b5b6a75041
145c41da11d6
15325c5c5099
hex1c470f3c78

121451265144 has 72 divisors (see below), whose sum is σ = 361551743280. Its totient is φ = 36803411040.

The previous prime is 121451265127. The next prime is 121451265149. The reversal of 121451265144 is 441562154121.

121451265144 is a `hidden beast` number, since 1 + 2 + 1 + 451 + 2 + 65 + 144 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 121451265099 and 121451265108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121451265149) 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 17 ways as a sum of consecutive naturals, for example, 6961632 + ... + 6979055.

It is an arithmetic number, because the mean of its divisors is an integer number (5021551990).

Almost surely, 2121451265144 is an apocalyptic number.

It is an amenable number.

121451265144 is an abundant number, since it is smaller than the sum of its proper divisors (240100478136).

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

121451265144 is a wasteful number, since it uses less digits than its factorization.

121451265144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13940721 (or 13940703 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The spelling of 121451265144 in words is "one hundred twenty-one billion, four hundred fifty-one million, two hundred sixty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1089 1452 2178 2904 4356 8712 13940687 27881374 41822061 55762748 83644122 111525496 125466183 153347557 167288244 250932366 306695114 334576488 460042671 501864732 613390228 920085342 1003729464 1226780456 1380128013 1686823127 1840170684 2760256026 3373646254 3680341368 5060469381 5520512052 6747292508 10120938762 11041024104 13494585016 15181408143 20241877524 30362816286 40483755048 60725632572 121451265144