Search a number
-
+
122420001320440 = 235139563349911177
BaseRepresentation
bin11011110101011100100000…
…101100010010110111111000
3121001110020102101012121110021
4123311130200230102313320
5112021212130314223230
61112210545555500224
734533360520046635
oct3365344054226770
9531406371177407
10122420001320440
113600903829848a
12118919968b7674
13534020604a015
14223323422d18c
15e24659e58c7a
hex6f5720b12df8

122420001320440 has 128 divisors (see below), whose sum is σ = 278023687200000. Its totient is φ = 48511151428608.

The previous prime is 122420001320401. The next prime is 122420001320447. The reversal of 122420001320440 is 44023100024221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122420001320447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10952844132 + ... + 10952855308.

It is an arithmetic number, because the mean of its divisors is an integer number (2172060056250).

Almost surely, 2122420001320440 is an apocalyptic number.

122420001320440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122420001320440 is an abundant number, since it is smaller than the sum of its proper divisors (155603685879560).

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

122420001320440 is a wasteful number, since it uses less digits than its factorization.

122420001320440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15389 (or 15385 counting only the distinct ones).

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

Adding to 122420001320440 its reverse (44023100024221), we get a palindrome (166443101344661).

The spelling of 122420001320440 in words is "one hundred twenty-two trillion, four hundred twenty billion, one million, three hundred twenty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 139 278 556 563 695 1112 1126 1390 2252 2780 2815 3499 4504 5560 5630 6998 11177 11260 13996 17495 22354 22520 27992 34990 44708 55885 69980 78257 89416 111770 139960 156514 223540 313028 391285 447080 486361 626056 782570 972722 1553603 1565140 1945444 1969937 2431805 3107206 3130280 3890888 3939874 4863610 6214412 6292651 7768015 7879748 9727220 9849685 12428824 12585302 15536030 15759496 19454440 19699370 25170604 31072060 31463255 39108323 39398740 50341208 62144120 62926510 78216646 78797480 125853020 156433292 195541615 251706040 273821243 312866584 391083230 547642486 782166460 874678489 1095284972 1369106215 1564332920 1749356978 2190569944 2738212430 3498713956 4373392445 5436056897 5476424860 6997427912 8746784890 10872113794 10952849720 17493569780 21744227588 22017985849 27180284485 34987139560 43488455176 44035971698 54360568970 88071943396 108721137940 110089929245 176143886792 217442275880 220179858490 440359716980 880719433960 3060500033011 6121000066022 12242000132044 15302500165055 24484000264088 30605000330110 61210000660220 122420001320440