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22000012121120 = 25511401263311839
BaseRepresentation
bin1010000000010010001101…
…11010000101010000100000
32212220011212200010011200012
411000021012322011100200
510340422011100333440
6114442355510544052
74430306544402335
oct500110672052040
985804780104605
1022000012121120
117012175337680
1225738bb668028
13c37791200267
14560b4058498c
1528240de59e65
hex140246e85420

22000012121120 has 192 divisors, whose sum is σ = 56867818936320. Its totient is φ = 7976349696000.

The previous prime is 22000012121057. The next prime is 22000012121123. The reversal of 22000012121120 is 2112121000022.

It is a super-3 number, since 3×220000121211203 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22000012121095 and 22000012121104.

It is not an unprimeable number, because it can be changed into a prime (22000012121123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1858260161 + ... + 1858271999.

It is an arithmetic number, because the mean of its divisors is an integer number (296186556960).

Almost surely, 222000012121120 is an apocalyptic number.

22000012121120 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 22000012121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28433909468160).

22000012121120 is an abundant number, since it is smaller than the sum of its proper divisors (34867806815200).

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

22000012121120 is a wasteful number, since it uses less digits than its factorization.

22000012121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14899 (or 14891 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 22000012121120 its reverse (2112121000022), we get a palindrome (24112133121142).

The spelling of 22000012121120 in words is "twenty-two trillion, twelve million, one hundred twenty-one thousand, one hundred twenty".