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1122412220430 = 2352917338319471
BaseRepresentation
bin10000010101010100111…
…110110101000000001110
310222022010211121112022220
4100111110332311000032
5121342200012023210
62215343513120210
7144043264313034
oct20252476650016
93868124545286
101122412220430
113a3015489a16
121616456b9066
1381ac6159c77
143c479cb0554
151e2e33a8c70
hex10554fb500e

1122412220430 has 128 divisors (see below), whose sum is σ = 2810248888320. Its totient is φ = 286553541120.

The previous prime is 1122412220387. The next prime is 1122412220453. The reversal of 1122412220430 is 340222142211.

It is a self number, because there is not a number n which added to its sum of digits gives 1122412220430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57635595 + ... + 57655065.

It is an arithmetic number, because the mean of its divisors is an integer number (21955069440).

Almost surely, 21122412220430 is an apocalyptic number.

1122412220430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1122412220430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1405124444160).

1122412220430 is an abundant number, since it is smaller than the sum of its proper divisors (1687836667890).

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

1122412220430 is a wasteful number, since it uses less digits than its factorization.

1122412220430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20066.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 1122412220430 its reverse (340222142211), we get a palindrome (1462634362641).

The spelling of 1122412220430 in words is "one trillion, one hundred twenty-two billion, four hundred twelve million, two hundred twenty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 173 174 290 346 383 435 519 766 865 870 1038 1149 1730 1915 2298 2595 3830 5017 5190 5745 10034 11107 11490 15051 19471 22214 25085 30102 33321 38942 50170 55535 58413 66259 66642 75255 97355 111070 116826 132518 150510 166605 194710 198777 292065 331295 333210 397554 564659 584130 662590 993885 1129318 1693977 1921511 1987770 2823295 3368483 3387954 3843022 5646590 5764533 6736966 7457393 8469885 9607555 10105449 11529066 14914786 16842415 16939770 19215110 20210898 22372179 28822665 33684830 37286965 44744358 50527245 57645330 74573930 97686007 101054490 111860895 195372014 216264397 223721790 293058021 432528794 488430035 586116042 648793191 976860070 1081321985 1290128989 1297586382 1465290105 2162643970 2580257978 2930580210 3243965955 3870386967 6450644945 6487931910 7740773934 12901289890 19351934835 37413740681 38703869670 74827481362 112241222043 187068703405 224482444086 374137406810 561206110215 1122412220430