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121420322325 = 3452137541809
BaseRepresentation
bin111000100010100110…
…1110001011000010101
3102121101222202110110000
41301011031301120111
53442132100303300
6131440230521513
711525623465551
oct1610515613025
9377358673400
10121420322325
1147548674325
121b647506299
13b5b052cb93
145c3bc28861
153259a11c00
hex1c45371615

121420322325 has 120 divisors (see below), whose sum is σ = 227253434760. Its totient is φ = 64086681600.

The previous prime is 121420322273. The next prime is 121420322329. The reversal of 121420322325 is 523223024121.

121420322325 is a `hidden beast` number, since 1 + 2 + 1 + 420 + 3 + 2 + 232 + 5 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 12482699076 + 108937623249 = 111726^2 + 330057^2 .

It is not a de Polignac number, because 121420322325 - 210 = 121420321301 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121420322329) 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 119 ways as a sum of consecutive naturals, for example, 150086521 + ... + 150087329.

It is an arithmetic number, because the mean of its divisors is an integer number (1893778623).

Almost surely, 2121420322325 is an apocalyptic number.

121420322325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

121420322325 is a deficient number, since it is larger than the sum of its proper divisors (105833112435).

121420322325 is a wasteful number, since it uses less digits than its factorization.

121420322325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1509 (or 1495 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 121420322325 its reverse (523223024121), we get a palindrome (644643346446).

The spelling of 121420322325 in words is "one hundred twenty-one billion, four hundred twenty million, three hundred twenty-two thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 137 225 405 411 541 675 685 809 1233 1623 2025 2055 2427 2705 3425 3699 4045 4869 6165 7281 8115 10275 11097 12135 13525 14607 18495 20225 21843 24345 30825 36405 40575 43821 55485 60675 65529 73035 74117 92475 109215 110833 121725 182025 219105 222351 277425 327645 332499 365175 370585 437669 546075 554165 667053 997497 1095525 1111755 1313007 1638225 1662495 1852925 2001159 2188345 2770825 2992491 3335265 3939021 4987485 5558775 6003477 6565035 8312475 8977473 10005795 10941725 11817063 14962455 16676325 19695105 24937425 30017385 32825175 35451189 44887365 50028975 59085315 59960653 74812275 98475525 150086925 177255945 179881959 224436825 295426575 299803265 539645877 886279725 899409795 1499016325 1618937631 2698229385 4497048975 4856812893 8094688155 13491146925 24284064465 40473440775 121420322325