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22122120011112 = 233211193147422699
BaseRepresentation
bin1010000011110101101010…
…00110101101110101101000
32220022212001120122200122100
411001322311012231311220
510344422100210323422
6115014432302453400
74442161520342532
oct501726506556550
986285046580570
1022122120011112
117059a36029740
1225934b9294260
13c461510087c4
14566a0582c852
152856a8ed57ac
hex141eb51add68

22122120011112 has 192 divisors, whose sum is σ = 71020235520000. Its totient is φ = 6145981660800.

The previous prime is 22122120011107. The next prime is 22122120011119. The reversal of 22122120011112 is 21111002122122.

22122120011112 is a `hidden beast` number, since 221 + 221 + 200 + 1 + 11 + 12 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (22122120011119) 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 47 ways as a sum of consecutive naturals, for example, 23244862 + ... + 24177837.

It is an arithmetic number, because the mean of its divisors is an integer number (369897060000).

Almost surely, 222122120011112 is an apocalyptic number.

22122120011112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

22122120011112 is an abundant number, since it is smaller than the sum of its proper divisors (48898115508888).

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

22122120011112 is a wasteful number, since it uses less digits than its factorization.

22122120011112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47422772 (or 47422765 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 22122120011112 its reverse (21111002122122), we get a palindrome (43233122133234).

The spelling of 22122120011112 in words is "twenty-two trillion, one hundred twenty-two billion, one hundred twenty million, eleven thousand, one hundred twelve".