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22021011120000 = 27354461199033
BaseRepresentation
bin1010000000111001010101…
…00010111001111110000000
32212222012002010102211202110
411000130222202321332000
510341243012321320000
6114500151324215320
74431652120060404
oct500345242717600
985865063384673
1022021011120000
117020070766302
1225779a009a540
13c39759854499
14561b733d7104
15282c3c75a850
hex14072a8b9f80

22021011120000 has 320 divisors, whose sum is σ = 73252162866960. Its totient is φ = 5859502080000.

The previous prime is 22021011119953. The next prime is 22021011120007. The reversal of 22021011120000 is 2111012022.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22021011120007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 110540484 + ... + 110739516.

Almost surely, 222021011120000 is an apocalyptic number.

22021011120000 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 22021011120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36626081433480).

22021011120000 is an abundant number, since it is smaller than the sum of its proper divisors (51231151746960).

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

22021011120000 is an equidigital number, since it uses as much as digits as its factorization.

22021011120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199531 (or 199504 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 22021011120000 its reverse (2111012022), we get a palindrome (22023122132022).

The spelling of 22021011120000 in words is "twenty-two trillion, twenty-one billion, eleven million, one hundred twenty thousand".