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122112122020 = 22574671867729
BaseRepresentation
bin111000110111001110…
…0110001110010100100
3102200012012111112012221
41301232130301302210
54000041200401040
6132033022322124
711552023624360
oct1615634616244
9380165445187
10122112122020
1147873122709
121b7bb129344
13b69095a905
145ca5a6a2a0
15329a61474a
hex1c6e731ca4

122112122020 has 48 divisors (see below), whose sum is σ = 293696807040. Its totient is φ = 41777339904.

The previous prime is 122112122009. The next prime is 122112122047. The reversal of 122112122020 is 20221211221.

It is a happy number.

It is a super-2 number, since 2×1221121220202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122112121985 and 122112122003.

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 15 ways as a sum of consecutive naturals, for example, 868485 + ... + 999244.

It is an arithmetic number, because the mean of its divisors is an integer number (6118683480).

Almost surely, 2122112122020 is an apocalyptic number.

122112122020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122112122020 is an abundant number, since it is smaller than the sum of its proper divisors (171584685020).

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

122112122020 is a wasteful number, since it uses less digits than its factorization.

122112122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1868212 (or 1868210 counting only the distinct ones).

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

Adding to 122112122020 its reverse (20221211221), we get a palindrome (142333333241).

The spelling of 122112122020 in words is "one hundred twenty-two billion, one hundred twelve million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 467 934 1868 2335 3269 4670 6538 9340 13076 16345 32690 65380 1867729 3735458 7470916 9338645 13074103 18677290 26148206 37354580 52296412 65370515 130741030 261482060 872229443 1744458886 3488917772 4361147215 6105606101 8722294430 12211212202 17444588860 24422424404 30528030505 61056061010 122112122020