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122102221220 = 225743199310177
BaseRepresentation
bin111000110110111011…
…1000000100110100100
3102200011111212111212122
41301231313000212210
54000031132034340
6132032030205112
711551543520150
oct1615567004644
9380144774778
10122102221220
1147868580031
121b7b7953798
13b68b8a2255
145ca4610060
15329980adb5
hex1c6ddc09a4

122102221220 has 96 divisors (see below), whose sum is σ = 300040274688. Its totient is φ = 40865513472.

The previous prime is 122102221187. The next prime is 122102221229. The reversal of 122102221220 is 22122201221.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (122102221229) 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, 11992772 + ... + 12002948.

It is an arithmetic number, because the mean of its divisors is an integer number (3125419528).

Almost surely, 2122102221220 is an apocalyptic number.

122102221220 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 122102221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150020137344).

122102221220 is an abundant number, since it is smaller than the sum of its proper divisors (177938053468).

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

122102221220 is a wasteful number, since it uses less digits than its factorization.

122102221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12229 (or 12227 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 122102221220 its reverse (22122201221), we get a palindrome (144224422441).

The spelling of 122102221220 in words is "one hundred twenty-two billion, one hundred two million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 70 86 140 172 215 301 430 602 860 1204 1505 1993 3010 3986 6020 7972 9965 10177 13951 19930 20354 27902 39860 40708 50885 55804 69755 71239 85699 101770 139510 142478 171398 203540 279020 284956 342796 356195 428495 437611 599893 712390 856990 875222 1199786 1424780 1713980 1750444 2188055 2399572 2999465 3063277 4376110 5998930 6126554 8752220 11997860 12253108 15316385 20282761 30632770 40565522 61265540 81131044 101413805 141979327 202827610 283958654 405655220 567917308 709896635 872158723 1419793270 1744317446 2839586540 3488634892 4360793615 6105111061 8721587230 12210222122 17443174460 24420444244 30525555305 61051110610 122102221220