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12422105155040 = 25571923163155707
BaseRepresentation
bin1011010011000011111100…
…1010100100010111100000
31121222112121212101200212012
42310300333022210113200
53112010432404430130
642230345240252052
72421316226434460
oct264607712442740
947875555350765
1012422105155040
113a5a204575379
1214875a1a71028
136c15268a9c09
1430d339895ba0
151681da2b9995
hexb4c3f2a45e0

12422105155040 has 384 divisors, whose sum is σ = 37066177290240. Its totient is φ = 3835718903808.

The previous prime is 12422105155039. The next prime is 12422105155069. The reversal of 12422105155040 is 4055150122421.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 12422105154988 and 12422105155006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 79700867 + ... + 79856573.

It is an arithmetic number, because the mean of its divisors is an integer number (96526503360).

Almost surely, 212422105155040 is an apocalyptic number.

12422105155040 is a gapful number since it is divisible by the number (10) 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 12422105155040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18533088645120).

12422105155040 is an abundant number, since it is smaller than the sum of its proper divisors (24644072135200).

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

12422105155040 is a wasteful number, since it uses less digits than its factorization.

12422105155040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155934 (or 155926 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 32.

Adding to 12422105155040 its reverse (4055150122421), we get a palindrome (16477255277461).

The spelling of 12422105155040 in words is "twelve trillion, four hundred twenty-two billion, one hundred five million, one hundred fifty-five thousand, forty".