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122100002120 = 2353052500053
BaseRepresentation
bin111000110110110111…
…0100010110101001000
3102200011100200202211202
41301231232202311020
54000030100031440
6132031510443332
711551515615365
oct1615556426510
9380140622752
10122100002120
11478672a4868
121b7b7063548
13b68b2a6185
145ca41d346c
15329951d615
hex1c6dba2d48

122100002120 has 16 divisors (see below), whose sum is σ = 274725004860. Its totient is φ = 48840000832.

The previous prime is 122100002111. The next prime is 122100002131. The reversal of 122100002120 is 21200001221.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 121565190244 + 534811876 = 348662^2 + 23126^2 .

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 3 ways as a sum of consecutive naturals, for example, 1526249987 + ... + 1526250066.

Almost surely, 2122100002120 is an apocalyptic number.

122100002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122100002120 is an abundant number, since it is smaller than the sum of its proper divisors (152625002740).

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

122100002120 is a wasteful number, since it uses less digits than its factorization.

122100002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3052500064 (or 3052500060 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 122100002120 its reverse (21200001221), we get a palindrome (143300003341).

The spelling of 122100002120 in words is "one hundred twenty-two billion, one hundred million, two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 3052500053 6105000106 12210000212 15262500265 24420000424 30525000530 61050001060 122100002120