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22201222120000 = 26547117208189
BaseRepresentation
bin1010000110001000111111…
…11101010100001001000000
32220121102020100020011120221
411003010133331110021000
510402221100330320000
6115115033423312424
74450661660231020
oct503043775241100
986542210204527
1022201222120000
11708a538113950
1225a68b444b714
13c50749104ab1
1456a78b239a80
1528778874261a
hex14311ff54240

22201222120000 has 280 divisors, whose sum is σ = 68636039186880. Its totient is φ = 6919860480000.

The previous prime is 22201222119997. The next prime is 22201222120031. The reversal of 22201222120000 is 2122210222.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

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, 524095 + ... + 6684094.

Almost surely, 222201222120000 is an apocalyptic number.

22201222120000 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 22201222120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34318019593440).

22201222120000 is an abundant number, since it is smaller than the sum of its proper divisors (46434817066880).

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

22201222120000 is an equidigital number, since it uses as much as digits as its factorization.

22201222120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7208239 (or 7208214 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 22201222120000 its reverse (2122210222), we get a palindrome (22203344330222).

The spelling of 22201222120000 in words is "twenty-two trillion, two hundred one billion, two hundred twenty-two million, one hundred twenty thousand".