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22022220101112 = 233272111950359377
BaseRepresentation
bin1010000000111011100101…
…00110110011010111111000
32212222022012101100110001200
411000131302212303113320
510341303001321213422
6114500511313014200
74432024100202600
oct500356246632770
985868171313050
1022022220101112
117020631146750
122578078b54360
13c398c017181a
14561c49bc3c00
15282cad96c2ac
hex1407729b35f8

22022220101112 has 576 divisors, whose sum is σ = 79831963411200. Its totient is φ = 5408137082880.

The previous prime is 22022220100913. The next prime is 22022220101113. The reversal of 22022220101112 is 21110102222022.

It is a happy number.

22022220101112 is a `hidden beast` number, since 220 + 222 + 201 + 0 + 11 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22022220101113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 370858368 + ... + 370917744.

It is an arithmetic number, because the mean of its divisors is an integer number (138597158700).

Almost surely, 222022220101112 is an apocalyptic number.

22022220101112 is a gapful number since it is divisible by the number (22) 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 22022220101112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39915981705600).

22022220101112 is an abundant number, since it is smaller than the sum of its proper divisors (57809743310088).

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

22022220101112 is a wasteful number, since it uses less digits than its factorization.

22022220101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59936 (or 59922 counting only the distinct ones).

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

Adding to 22022220101112 its reverse (21110102222022), we get a palindrome (43132322323134).

The spelling of 22022220101112 in words is "twenty-two trillion, twenty-two billion, two hundred twenty million, one hundred one thousand, one hundred twelve".