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22112220121020 = 223256110995319387
BaseRepresentation
bin1010000011100011001110…
…00001101000011110111100
32220021220111122021011111100
411001301213001220132330
510344241311322333040
6115010114053453100
74441361266561311
oct501614701503674
986256448234440
1022112220121020
117055815880797
1225915b5941190
13c45233c9cb83
14566346ac8d08
152852c9ceeb30
hex141c670687bc

22112220121020 has 288 divisors, whose sum is σ = 68874491125440. Its totient is φ = 5740390010880.

The previous prime is 22112220121009. The next prime is 22112220121027. The reversal of 22112220121020 is 2012102221122.

It is a happy number.

22112220121020 is a `hidden beast` number, since 2 + 211 + 2 + 220 + 1 + 210 + 20 = 666.

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 = 22112220120984 and 22112220121002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22112220121027) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1140559767 + ... + 1140579153.

It is an arithmetic number, because the mean of its divisors is an integer number (239147538630).

Almost surely, 222112220121020 is an apocalyptic number.

22112220121020 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 22112220121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34437245562720).

22112220121020 is an abundant number, since it is smaller than the sum of its proper divisors (46762271004420).

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

22112220121020 is a wasteful number, since it uses less digits than its factorization.

22112220121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20525 (or 20520 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22112220121020 its reverse (2012102221122), we get a palindrome (24124322342142).

The spelling of 22112220121020 in words is "twenty-two trillion, one hundred twelve billion, two hundred twenty million, one hundred twenty-one thousand, twenty".