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21222021122120 = 23572132312066723
BaseRepresentation
bin1001101001101001000110…
…00001111100100001001000
32210010210202010210112012202
410310310203001330201020
510240200144401401440
6113045132323455332
74320145316125100
oct464644301744110
983123663715182
1021222021122120
116842232737105
122468b77b27548
13bac2c6c07800
14535219264200
1526c077e73615
hex134d2307c848

21222021122120 has 288 divisors, whose sum is σ = 62087034366720. Its totient is φ = 6499758021120.

The previous prime is 21222021122063. The next prime is 21222021122131. The reversal of 21222021122120 is 2122112022212.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 21222021122092 and 21222021122101.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9235079 + ... + 11301801.

It is an arithmetic number, because the mean of its divisors is an integer number (215579980440).

Almost surely, 221222021122120 is an apocalyptic number.

21222021122120 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 21222021122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31043517183360).

21222021122120 is an abundant number, since it is smaller than the sum of its proper divisors (40865013244600).

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

21222021122120 is a wasteful number, since it uses less digits than its factorization.

21222021122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2066805 (or 2066781 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 21222021122120 its reverse (2122112022212), we get a palindrome (23344133144332).

The spelling of 21222021122120 in words is "twenty-one trillion, two hundred twenty-two billion, twenty-one million, one hundred twenty-two thousand, one hundred twenty".