Search a number
-
+
122124232240 = 2454754076007
BaseRepresentation
bin111000110111100101…
…0111110011000110000
3102200020001021210022121
41301233022332120300
54000102300412430
6132034134044024
711552231563213
oct1615712763060
9380201253277
10122124232240
1147879a4425a
121b8031a9614
13b69330ab1a
145ca74dd77a
15329b707a7a
hex1c6f2be630

122124232240 has 80 divisors (see below), whose sum is σ = 290082004992. Its totient is φ = 47793537792.

The previous prime is 122124232207. The next prime is 122124232277. The reversal of 122124232240 is 42232421221.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20327317 + ... + 20333323.

Almost surely, 2122124232240 is an apocalyptic number.

122124232240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122124232240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145041002496).

122124232240 is an abundant number, since it is smaller than the sum of its proper divisors (167957772752).

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

122124232240 is a wasteful number, since it uses less digits than its factorization.

122124232240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11474 (or 11468 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 122124232240 its reverse (42232421221), we get a palindrome (164356653461).

The spelling of 122124232240 in words is "one hundred twenty-two billion, one hundred twenty-four million, two hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 188 235 376 470 752 940 1880 3760 5407 6007 10814 12014 21628 24028 27035 30035 43256 48056 54070 60070 86512 96112 108140 120140 216280 240280 254129 282329 432560 480560 508258 564658 1016516 1129316 1270645 1411645 2033032 2258632 2541290 2823290 4066064 4517264 5082580 5646580 10165160 11293160 20330320 22586320 32479849 64959698 129919396 162399245 259838792 324798490 519677584 649596980 1299193960 1526552903 2598387920 3053105806 6106211612 7632764515 12212423224 15265529030 24424846448 30531058060 61062116120 122124232240