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22021112200000 = 2655277397493
BaseRepresentation
bin1010000000111001100001…
…00100011111101101000000
32212222012100011122020110011
411000130300210133231000
510341243214210400000
6114500205334514304
74431654455201314
oct500346044375500
985865304566404
1022021112200000
1170201128251a1
122577a09b05994
13c39774785734
14561b829c9b44
15282c465752ba
hex14073091fb40

22021112200000 has 168 divisors, whose sum is σ = 54816503878584. Its totient is φ = 8776623360000.

The previous prime is 22021112199971. The next prime is 22021112200051. The reversal of 22021112200000 is 221112022.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 21851361607936 + 169750592064 = 4674544^2 + 412008^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55201254 + ... + 55598746.

It is an arithmetic number, because the mean of its divisors is an integer number (326288713563).

Almost surely, 222021112200000 is an apocalyptic number.

22021112200000 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 22021112200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27408251939292).

22021112200000 is an abundant number, since it is smaller than the sum of its proper divisors (32795391678584).

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

22021112200000 is an frugal number, since it uses more digits than its factorization.

22021112200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397807 (or 397777 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 22021112200000 its reverse (221112022), we get a palindrome (22021333312022).

The spelling of 22021112200000 in words is "twenty-two trillion, twenty-one billion, one hundred twelve million, two hundred thousand".