Search a number
-
+
122000330220 = 223511331157859
BaseRepresentation
bin111000110011111001…
…0010100110111101100
3102122220102010220200220
41301213302110313230
53444324041031340
6132013550251340
711546165460636
oct1614762246754
9378812126626
10122000330220
114781600789a
121b7897b6b50
13b673748b12
145c94c89a56
1532908d0ed0
hex1c67c94dec

122000330220 has 96 divisors (see below), whose sum is σ = 345738032640. Its totient is φ = 32141276160.

The previous prime is 122000330201. The next prime is 122000330237. The reversal of 122000330220 is 22033000221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 122000330220.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2079651 + ... + 2137509.

It is an arithmetic number, because the mean of its divisors is an integer number (3601437840).

Almost surely, 2122000330220 is an apocalyptic number.

122000330220 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 122000330220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172869016320).

122000330220 is an abundant number, since it is smaller than the sum of its proper divisors (223737702420).

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

122000330220 is a wasteful number, since it uses less digits than its factorization.

122000330220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58295 (or 58293 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 122000330220 its reverse (22033000221), we get a palindrome (144033330441).

The spelling of 122000330220 in words is "one hundred twenty-two billion, three hundred thirty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 113 226 311 339 452 565 622 678 933 1130 1244 1356 1555 1695 1866 2260 3110 3390 3732 4665 6220 6780 9330 18660 35143 57859 70286 105429 115718 140572 173577 175715 210858 231436 289295 347154 351430 421716 527145 578590 694308 702860 867885 1054290 1157180 1735770 2108580 3471540 6538067 13076134 17994149 19614201 26152268 32690335 35988298 39228402 53982447 65380670 71976596 78456804 89970745 98071005 107964894 130761340 179941490 196142010 215929788 269912235 359882980 392284020 539824470 1079648940 2033338837 4066677674 6100016511 8133355348 10166694185 12200033022 20333388370 24400066044 30500082555 40666776740 61000165110 122000330220