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2122022202120 = 233255894506117
BaseRepresentation
bin11110111000010010011…
…000010010101100001000
321111212022101010222021100
4132320102120102230020
5234231400140431440
64302502112141400
7306211455052332
oct36702230225410
97455271128240
102122022202120
11748a43237327
122a3318b37860
1312514b69a632
14749c65d0452
153a2ea77e230
hex1ee12612b08

2122022202120 has 48 divisors (see below), whose sum is σ = 6896572158060. Its totient is φ = 565872587136.

The previous prime is 2122022202103. The next prime is 2122022202127. The reversal of 2122022202120 is 212022202212.

2122022202120 is a `hidden beast` number, since 212 + 20 + 2 + 220 + 212 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2011807497924 + 110214704196 = 1418382^2 + 331986^2 .

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 = 2122022202093 and 2122022202102.

It is not an unprimeable number, because it can be changed into a prime (2122022202127) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2947252699 + ... + 2947253418.

Almost surely, 22122022202120 is an apocalyptic number.

2122022202120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122022202120 is an abundant number, since it is smaller than the sum of its proper divisors (4774549955940).

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

2122022202120 is a wasteful number, since it uses less digits than its factorization.

2122022202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5894506134 (or 5894506127 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2122022202120 its reverse (212022202212), we get a palindrome (2334044404332).

The spelling of 2122022202120 in words is "two trillion, one hundred twenty-two billion, twenty-two million, two hundred two 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 5894506117 11789012234 17683518351 23578024468 29472530585 35367036702 47156048936 53050555053 58945061170 70734073404 88417591755 106101110106 117890122340 141468146808 176835183510 212202220212 235780244680 265252775265 353670367020 424404440424 530505550530 707340734040 1061011101060 2122022202120