Search a number
-
+
121207326126624 = 253515587361899
BaseRepresentation
bin11011100011110011000111…
…100111100011001000100000
3120220011022021221212221100000
4123203303013213203020200
5111341330100442022444
61105441513225500000
734346640351013023
oct3343630747431040
9526138257787300
10121207326126624
1135690813803701
1211716960341600
135282a5676533a
1421d06745691ba
15e02d325ca469
hex6e3cc79e3220

121207326126624 has 72 divisors (see below), whose sum is σ = 357449383090800. Its totient is φ = 40402442039616.

The previous prime is 121207326126587. The next prime is 121207326126701. The reversal of 121207326126624 is 426621623702121.

121207326126624 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 0 + 7 + 3 + 2 + 6 + 12 + 6 + 624 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 121207326126624.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7793673174 + ... + 7793688725.

It is an arithmetic number, because the mean of its divisors is an integer number (4964574765150).

Almost surely, 2121207326126624 is an apocalyptic number.

It is an amenable number.

121207326126624 is an abundant number, since it is smaller than the sum of its proper divisors (236242056964176).

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

121207326126624 is an equidigital number, since it uses as much as digits as its factorization.

121207326126624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15587361924 (or 15587361904 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

Adding to 121207326126624 its reverse (426621623702121), we get a palindrome (547828949828745).

The spelling of 121207326126624 in words is "one hundred twenty-one trillion, two hundred seven billion, three hundred twenty-six million, one hundred twenty-six thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 3888 7776 15587361899 31174723798 46762085697 62349447596 93524171394 124698895192 140286257091 187048342788 249397790384 280572514182 374096685576 420858771273 498795580768 561145028364 748193371152 841717542546 1122290056728 1262576313819 1496386742304 1683435085092 2244580113456 2525152627638 3366870170184 3787728941457 4489160226912 5050305255276 6733740340368 7575457882914 10100610510552 13467480680736 15150915765828 20201221021104 30301831531656 40402442042208 60603663063312 121207326126624