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22022120120 = 23571113678209
BaseRepresentation
bin10100100000100111…
…101110001010111000
32002211202111121120112
4110200213232022320
5330100130320440
614041122243452
71406504634560
oct244047561270
962752447515
1022022120120
119380a04880
1243271b6588
1320cc5c8410
1410cca9bda0
1588d54c965
hex5209ee2b8

22022120120 has 256 divisors, whose sum is σ = 67529548800. Its totient is φ = 6240706560.

The previous prime is 22022120119. The next prime is 22022120123. The reversal of 22022120120 is 2102122022.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 22022120095 and 22022120104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22022120123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2678576 + ... + 2686784.

It is an arithmetic number, because the mean of its divisors is an integer number (263787300).

Almost surely, 222022120120 is an apocalyptic number.

22022120120 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 22022120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33764774400).

22022120120 is an abundant number, since it is smaller than the sum of its proper divisors (45507428680).

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

22022120120 is a wasteful number, since it uses less digits than its factorization.

22022120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8318 (or 8314 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 22022120120 its reverse (2102122022), we get a palindrome (24124242142).

The spelling of 22022120120 in words is "twenty-two billion, twenty-two million, one hundred twenty thousand, one hundred twenty".