Search a number
-
+
122130132320 = 25572103151241
BaseRepresentation
bin111000110111110000…
…1011110110101100000
3102200020110101112201002
41301233201132311200
54000110303213240
6132034504331132
711552332665500
oct1615741366540
9380213345632
10122130132320
1147882304059
121b805173aa8
13b6945c54b1
145ca81d7a00
15329bec0d15
hex1c6f85ed60

122130132320 has 144 divisors (see below), whose sum is σ = 338900653728. Its totient is φ = 41466378240.

The previous prime is 122130132287. The next prime is 122130132329. The reversal of 122130132320 is 23231031221.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 122130132292 and 122130132301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122130132329) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 731900 + ... + 883140.

It is an arithmetic number, because the mean of its divisors is an integer number (2353476762).

Almost surely, 2122130132320 is an apocalyptic number.

122130132320 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 122130132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169450326864).

122130132320 is an abundant number, since it is smaller than the sum of its proper divisors (216770521408).

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

122130132320 is a wasteful number, since it uses less digits than its factorization.

122130132320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151373 (or 151358 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 122130132320 its reverse (23231031221), we get a palindrome (145361163541).

The spelling of 122130132320 in words is "one hundred twenty-two billion, one hundred thirty million, one hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 103 112 140 160 196 206 224 245 280 392 412 490 515 560 721 784 824 980 1030 1120 1442 1568 1648 1960 2060 2884 3296 3605 3920 4120 5047 5768 7210 7840 8240 10094 11536 14420 16480 20188 23072 25235 28840 40376 50470 57680 80752 100940 115360 151241 161504 201880 302482 403760 604964 756205 807520 1058687 1209928 1512410 2117374 2419856 3024820 4234748 4839712 5293435 6049640 7410809 8469496 10586870 12099280 14821618 15577823 16938992 21173740 24198560 29643236 31155646 33877984 37054045 42347480 59286472 62311292 74108090 77889115 84694960 109044761 118572944 124622584 148216180 155778230 169389920 218089522 237145888 249245168 296432360 311556460 436179044 498490336 545223805 592864720 623112920 763313327 872358088 1090447610 1185729440 1246225840 1526626654 1744716176 2180895220 2492451680 3053253308 3489432352 3816566635 4361790440 6106506616 7633133270 8723580880 12213013232 15266266540 17447161760 24426026464 30532533080 61065066160 122130132320