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122101222120 = 2353052530553
BaseRepresentation
bin111000110110111001…
…1001100101011101000
3102200011102222202100221
41301231303030223220
54000030403101440
6132031552535424
711551532156263
oct1615563145350
9380142882327
10122101222120
1147867a58429
121b7b7551574
13b68b612577
145ca442dcda
1532996aed4a
hex1c6dcccae8

122101222120 has 16 divisors (see below), whose sum is σ = 274727749860. Its totient is φ = 48840488832.

The previous prime is 122101222081. The next prime is 122101222123. The reversal of 122101222120 is 21222101221.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 106501711716 + 15599510404 = 326346^2 + 124898^2 .

It is a junction number, because it is equal to n+sod(n) for n = 122101222094 and 122101222103.

It is not an unprimeable number, because it can be changed into a prime (122101222123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1526265237 + ... + 1526265316.

Almost surely, 2122101222120 is an apocalyptic number.

122101222120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122101222120 is an abundant number, since it is smaller than the sum of its proper divisors (152626527740).

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

122101222120 is a wasteful number, since it uses less digits than its factorization.

122101222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3052530564 (or 3052530560 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 122101222120 its reverse (21222101221), we get a palindrome (143323323341).

The spelling of 122101222120 in words is "one hundred twenty-two billion, one hundred one million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 3052530553 6105061106 12210122212 15262652765 24420244424 30525305530 61050611060 122101222120