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122122212120 = 233252417140351
BaseRepresentation
bin111000110111100001…
…1010001001100011000
3102200012220111011020100
41301233003101030120
54000101241241440
6132034022455400
711552205450516
oct1615703211430
9380186434210
10122122212120
1147878894537
121b802594560
13b692a8149c
145ca71354b6
15329b459230
hex1c6f0d1318

122122212120 has 96 divisors (see below), whose sum is σ = 397064229120. Its totient is φ = 32552217600.

The previous prime is 122122212083. The next prime is 122122212139. The reversal of 122122212120 is 21212221221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 122122212093 and 122122212102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 799945 + ... + 940295.

It is an arithmetic number, because the mean of its divisors is an integer number (4136085720).

Almost surely, 2122122212120 is an apocalyptic number.

122122212120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122122212120 is an abundant number, since it is smaller than the sum of its proper divisors (274942017000).

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

122122212120 is a wasteful number, since it uses less digits than its factorization.

122122212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142785 (or 142778 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 122122212120 its reverse (21212221221), we get a palindrome (143334433341).

The spelling of 122122212120 in words is "one hundred twenty-two billion, one hundred twenty-two million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 2417 4834 7251 9668 12085 14502 19336 21753 24170 29004 36255 43506 48340 58008 72510 87012 96680 108765 140351 145020 174024 217530 280702 290040 421053 435060 561404 701755 842106 870120 1122808 1263159 1403510 1684212 2105265 2526318 2807020 3368424 4210530 5052636 5614040 6315795 8421060 10105272 12631590 16842120 25263180 50526360 339228367 678456734 1017685101 1356913468 1696141835 2035370202 2713826936 3053055303 3392283670 4070740404 5088425505 6106110606 6784567340 8141480808 10176851010 12212221212 13569134680 15265276515 20353702020 24424442424 30530553030 40707404040 61061106060 122122212120