Search a number
-
+
120001222120 = 235132310033547
BaseRepresentation
bin110111111000010100…
…0010101010111101000
3102110202002110200221011
41233300220111113220
53431230303101440
6131043334353304
711445512362303
oct1576050252750
9373662420834
10120001222120
114698a61a33a
121b3101bb834
13b415524710
145b45583b3a
1531c51479ea
hex1bf0a155e8

120001222120 has 64 divisors (see below), whose sum is σ = 303414491520. Its totient is φ = 42381698304.

The previous prime is 120001222111. The next prime is 120001222147. The reversal of 120001222120 is 21222100021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 120001222120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5004814 + ... + 5028733.

It is an arithmetic number, because the mean of its divisors is an integer number (4740851430).

Almost surely, 2120001222120 is an apocalyptic number.

120001222120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120001222120 is an abundant number, since it is smaller than the sum of its proper divisors (183413269400).

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

120001222120 is a wasteful number, since it uses less digits than its factorization.

120001222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10033594 (or 10033590 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 120001222120 its reverse (21222100021), we get a palindrome (141223322141).

The spelling of 120001222120 in words is "one hundred twenty billion, one million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 23 26 40 46 52 65 92 104 115 130 184 230 260 299 460 520 598 920 1196 1495 2392 2990 5980 11960 10033547 20067094 40134188 50167735 80268376 100335470 130436111 200670940 230771581 260872222 401341880 461543162 521744444 652180555 923086324 1043488888 1153857905 1304361110 1846172648 2307715810 2608722220 3000030553 4615431620 5217444440 6000061106 9230863240 12000122212 15000152765 24000244424 30000305530 60000611060 120001222120