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122013070320000 = 27354508387793
BaseRepresentation
bin11011101111100001100001…
…101101101110000110000000
3121000000100001122201221021110
4123233201201231232012000
5111443030232000220000
61111300010344123320
734462103424445356
oct3357414155560600
9530010048657243
10122013070320000
11359714a8359952
1211826b4a466540
135310a247b40b2
14221b66d7517d6
15e18c8ed25850
hex6ef861b6e180

122013070320000 has 160 divisors (see below), whose sum is σ = 404991884456280. Its totient is φ = 32536818688000.

The previous prime is 122013070319989. The next prime is 122013070320017. The reversal of 122013070320000 is 23070310221.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 253953897 + ... + 254433896.

Almost surely, 2122013070320000 is an apocalyptic number.

122013070320000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122013070320000 is an abundant number, since it is smaller than the sum of its proper divisors (282978814136280).

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

122013070320000 is an frugal number, since it uses more digits than its factorization.

122013070320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508387830 (or 508387803 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The spelling of 122013070320000 in words is "one hundred twenty-two trillion, thirteen billion, seventy million, three hundred twenty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 300 320 375 384 400 480 500 600 625 640 750 800 960 1000 1200 1250 1500 1600 1875 1920 2000 2400 2500 3000 3200 3750 4000 4800 5000 6000 7500 8000 9600 10000 12000 15000 16000 20000 24000 30000 40000 48000 60000 80000 120000 240000 508387793 1016775586 1525163379 2033551172 2541938965 3050326758 4067102344 5083877930 6100653516 7625816895 8134204688 10167755860 12201307032 12709694825 15251633790 16268409376 20335511720 24402614064 25419389650 30503267580 32536818752 38129084475 40671023440 48805228128 50838779300 61006535160 63548474125 65073637504 76258168950 81342046880 97610456256 101677558600 122013070320 127096948250 152516337900 162684093760 190645422375 195220912512 203355117200 244026140640 254193896500 305032675800 317742370625 325368187520 381290844750 406710234400 488052281280 508387793000 610065351600 635484741250 762581689500 813420468800 953227111875 976104562560 1016775586000 1220130703200 1270969482500 1525163379000 1626840937600 1906454223750 2033551172000 2440261406400 2541938965000 3050326758000 3812908447500 4067102344000 4880522812800 5083877930000 6100653516000 7625816895000 8134204688000 10167755860000 12201307032000 15251633790000 20335511720000 24402614064000 30503267580000 40671023440000 61006535160000 122013070320000