Search a number
-
+
22021112001200 = 24521319296375223
BaseRepresentation
bin1010000000111001100001…
…00011101111001010110000
32212222012100011021010202012
411000130300203233022300
510341243214133014300
6114500205330342052
74431654453412604
oct500346043571260
985865304233665
1022021112001200
1170201126a98a4
122577a09a2a928
13c397747160c0
14561b82977504
15282c46536435
hex1407308ef2b0

22021112001200 has 240 divisors, whose sum is σ = 59995135898880. Its totient is φ = 7700229411840.

The previous prime is 22021112001197. The next prime is 22021112001223. The reversal of 22021112001200 is 210021112022.

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 47 ways as a sum of consecutive naturals, for example, 292706789 + ... + 292782011.

It is an arithmetic number, because the mean of its divisors is an integer number (249979732912).

Almost surely, 222021112001200 is an apocalyptic number.

22021112001200 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 22021112001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29997567949440).

22021112001200 is an abundant number, since it is smaller than the sum of its proper divisors (37974023897680).

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

22021112001200 is a wasteful number, since it uses less digits than its factorization.

22021112001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78236 (or 78225 counting only the distinct ones).

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

Adding to 22021112001200 its reverse (210021112022), we get a palindrome (22231133113222).

The spelling of 22021112001200 in words is "twenty-two trillion, twenty-one billion, one hundred twelve million, one thousand, two hundred".