Search a number
-
+
122555225440224 = 2533141846325741
BaseRepresentation
bin11011110111011010011100…
…101011010111111111100000
3121001221011110101020122012000
4123313122130223113333200
5112030421100203041344
61112353032054004000
734546215510104133
oct3367323453277740
9531834411218160
10122555225440224
1136060419831085
12118b4035046600
13534cba6331095
1422399c145a21a
15e27e21744a69
hex6f769cad7fe0

122555225440224 has 48 divisors (see below), whose sum is σ = 357452740869840. Its totient is φ = 40851741813120.

The previous prime is 122555225440177. The next prime is 122555225440247. The reversal of 122555225440224 is 422044522555221.

122555225440224 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 552 + 2 + 54 + 40 + 2 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 122555225440224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70923162007 + ... + 70923163734.

It is an arithmetic number, because the mean of its divisors is an integer number (7446932101455).

Almost surely, 2122555225440224 is an apocalyptic number.

It is an amenable number.

122555225440224 is an abundant number, since it is smaller than the sum of its proper divisors (234897515429616).

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

122555225440224 is a wasteful number, since it uses less digits than its factorization.

122555225440224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141846325760 (or 141846325746 counting only the distinct ones).

The product of its (nonzero) digits is 2560000, while the sum is 45.

Adding to 122555225440224 its reverse (422044522555221), we get a palindrome (544599747995445).

The spelling of 122555225440224 in words is "one hundred twenty-two trillion, five hundred fifty-five billion, two hundred twenty-five million, four hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 141846325741 283692651482 425538977223 567385302964 851077954446 1134770605928 1276616931669 1702155908892 2269541211856 2553233863338 3404311817784 3829850795007 4539082423712 5106467726676 6808623635568 7659701590014 10212935453352 13617247271136 15319403180028 20425870906704 30638806360056 40851741813408 61277612720112 122555225440224