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422201222112120 = 23351123251409135463
BaseRepresentation
bin101111111111111010110000…
…1110111100010001101111000
32001100220001011002110212220220
41133333311201313202031320
5420314321100330041440
64053540321442220040
7154634013604131363
oct13777654167421570
92040801132425826
10422201222112120
11112587595134630
123b429513054620
131517753464c089
1476389108810da
1533c265186d8d0
hex17ffd61de2378

422201222112120 has 512 divisors, whose sum is σ = 1451119844966400. Its totient is φ = 97272552960000.

The previous prime is 422201222112119. The next prime is 422201222112161. The reversal of 422201222112120 is 21211222102224.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3116659509 + ... + 3116794971.

It is an arithmetic number, because the mean of its divisors is an integer number (2834218447200).

Almost surely, 2422201222112120 is an apocalyptic number.

422201222112120 is a gapful number since it is divisible by the number (40) 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 422201222112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725559922483200).

422201222112120 is an abundant number, since it is smaller than the sum of its proper divisors (1028918622854280).

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

422201222112120 is a wasteful number, since it uses less digits than its factorization.

422201222112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136171 (or 136167 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 422201222112120 its reverse (21211222102224), we get a palindrome (443412444214344).

The spelling of 422201222112120 in words is "four hundred twenty-two trillion, two hundred one billion, two hundred twenty-two million, one hundred twelve thousand, one hundred twenty".