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22012320003120 = 24325232910145677
BaseRepresentation
bin1010000000101001001001…
…00000111011010000110000
32212221100122102120100201200
411000110210200323100300
510341122212410044440
6114452153055331200
74431223544564256
oct500244440732060
985840572510650
1022012320003120
117017410866587
122576175520b00
13c389a3092385
1456158b0285d6
152828ce744c30
hex14052483b430

22012320003120 has 240 divisors, whose sum is σ = 77143165324992. Its totient is φ = 5614420838400.

The previous prime is 22012320003101. The next prime is 22012320003137. The reversal of 22012320003120 is 2130002321022.

22012320003120 is a `hidden beast` number, since 2 + 20 + 12 + 320 + 0 + 0 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 22012320003093 and 22012320003102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 481889722 + ... + 481935398.

Almost surely, 222012320003120 is an apocalyptic number.

22012320003120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22012320003120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38571582662496).

22012320003120 is an abundant number, since it is smaller than the sum of its proper divisors (55130845321872).

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

22012320003120 is a wasteful number, since it uses less digits than its factorization.

22012320003120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74820 (or 74811 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 22012320003120 its reverse (2130002321022), we get a palindrome (24142322324142).

The spelling of 22012320003120 in words is "twenty-two trillion, twelve billion, three hundred twenty million, three thousand, one hundred twenty".