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120122012222112 = 25371157271120591
BaseRepresentation
bin11011010100000000010101…
…110111100100001010100000
3120202022112220120022010020210
4123110000111313210022200
5111221034340112101422
61103251142434134120
734205346305024265
oct3324002567441240
9522275816263223
10120122012222112
113530250636360a
121158054aa21340
1352045c347a4c4
142193d1773326c
15dd49b10d510c
hex6d4015de42a0

120122012222112 has 96 divisors (see below), whose sum is σ = 319782030188544. Its totient is φ = 39474172281600.

The previous prime is 120122012222101. The next prime is 120122012222321. The reversal of 120122012222112 is 211222210221021.

It is a tau number, because it is divible by the number of its divisors (96).

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, 106634937 + ... + 107755527.

It is an arithmetic number, because the mean of its divisors is an integer number (3331062814464).

Almost surely, 2120122012222112 is an apocalyptic number.

120122012222112 is a gapful number since it is divisible by the number (12) 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 120122012222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159891015094272).

120122012222112 is an abundant number, since it is smaller than the sum of its proper divisors (199660017966432).

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

120122012222112 is a wasteful number, since it uses less digits than its factorization.

120122012222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136402 (or 1136394 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 120122012222112 its reverse (211222210221021), we get a palindrome (331344222443133).

The spelling of 120122012222112 in words is "one hundred twenty trillion, one hundred twenty-two billion, twelve million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 142 213 284 426 568 852 1136 1704 2272 3408 6816 15727 31454 47181 62908 94362 125816 188724 251632 377448 503264 754896 1116617 1120591 1509792 2233234 2241182 3349851 3361773 4466468 4482364 6699702 6723546 8932936 8964728 13399404 13447092 17865872 17929456 26798808 26894184 35731744 35858912 53597616 53788368 79561961 107195232 107576736 159123922 238685883 318247844 477371766 636495688 954743532 1272991376 1909487064 2545982752 3818974128 7637948256 17623534657 35247069314 52870603971 70494138628 105741207942 140988277256 211482415884 281976554512 422964831768 563953109024 845929663536 1251270960647 1691859327072 2502541921294 3753812881941 5005083842588 7507625763882 10010167685176 15015251527764 20020335370352 30030503055528 40040670740704 60061006111056 120122012222112