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121222120313000 = 23537101171459859
BaseRepresentation
bin11011100100000000111001…
…011010111001000010101000
3120220012201110222202110210202
4123210000321122321002220
5111342100400300004000
61105452401232331332
734351003101352520
oct3344007132710250
9526181428673722
10121222120313000
1135697015731913
12117197aa9a3b48
13528427376cb85
1421d12792d6680
15e033eb2d7dd5
hex6e40396b90a8

121222120313000 has 128 divisors (see below), whose sum is σ = 327392315078400. Its totient is φ = 41150365920000.

The previous prime is 121222120312991. The next prime is 121222120313003. The reversal of 121222120313000 is 313021222121.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (121222120313003) 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, 85022930 + ... + 86436929.

It is an arithmetic number, because the mean of its divisors is an integer number (2557752461550).

Almost surely, 2121222120313000 is an apocalyptic number.

121222120313000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121222120313000 is an abundant number, since it is smaller than the sum of its proper divisors (206170194765400).

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

121222120313000 is a wasteful number, since it uses less digits than its factorization.

121222120313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171459988 (or 171459974 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 121222120313000 its reverse (313021222121), we get a palindrome (121535141535121).

The spelling of 121222120313000 in words is "one hundred twenty-one trillion, two hundred twenty-two billion, one hundred twenty million, three hundred thirteen thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 101 125 140 175 200 202 250 280 350 404 500 505 700 707 808 875 1000 1010 1400 1414 1750 2020 2525 2828 3500 3535 4040 5050 5656 7000 7070 10100 12625 14140 17675 20200 25250 28280 35350 50500 70700 88375 101000 141400 176750 353500 707000 171459859 342919718 685839436 857299295 1200219013 1371678872 1714598590 2400438026 3429197180 4286496475 4800876052 6001095065 6858394360 8572992950 9601752104 12002190130 17145985900 17317445759 21432482375 24004380260 30005475325 34291971800 34634891518 42864964750 48008760520 60010950650 69269783036 85729929500 86587228795 120021901300 121222120313 138539566072 150027376625 171459859000 173174457590 240043802600 242444240626 300054753250 346348915180 432936143975 484888481252 600109506500 606110601565 692697830360 865872287950 969776962504 1200219013000 1212221203130 1731744575900 2164680719875 2424442406260 3030553007825 3463489151800 4329361439750 4848884812520 6061106015650 8658722879500 12122212031300 15152765039125 17317445759000 24244424062600 30305530078250 60611060156500 121222120313000