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12422108160 = 210345711389
BaseRepresentation
bin10111001000110101…
…00101010000000000
31012001201101110220000
423210122211100000
5200420024430120
65412344520000
7616555114530
oct134432452000
935051343800
1012422108160
1152a4a577a0
1224a8180000
13122c746c77
1485bad94c0
154ca84e990
hex2e46a5400

12422108160 has 880 divisors, whose sum is σ = 55640407680. Its totient is φ = 2574581760.

The previous prime is 12422108159. The next prime is 12422108189. The reversal of 12422108160 is 6180122421.

It is a tau number, because it is divible by the number of its divisors (880).

It is a super-2 number, since 2×124221081602 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 31933246 + ... + 31933634.

It is an arithmetic number, because the mean of its divisors is an integer number (63227736).

Almost surely, 212422108160 is an apocalyptic number.

12422108160 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 12422108160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27820203840).

12422108160 is an abundant number, since it is smaller than the sum of its proper divisors (43218299520).

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

12422108160 is a wasteful number, since it uses less digits than its factorization.

12422108160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 12422108160 in words is "twelve billion, four hundred twenty-two million, one hundred eight thousand, one hundred sixty".