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12422104230144 = 283717923835417
BaseRepresentation
bin1011010011000011111100…
…0111000010100100000000
31121222112121210122201010210
42310300333013002210000
53112010432140331034
642230345204354120
72421316215533130
oct264607707024400
947875553581123
1012422104230144
113a5a203aa34a4
1214875a16a5940
136c1526644c3b
1430d3396d4ac0
151681da1858e9
hexb4c3f1c2900

12422104230144 has 288 divisors, whose sum is σ = 38017944760320. Its totient is φ = 3527212548096.

The previous prime is 12422104230097. The next prime is 12422104230149. The reversal of 12422104230144 is 44103240122421.

It is a super-2 number, since 2×124221042301442 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12422104230149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2293167724 + ... + 2293173140.

It is an arithmetic number, because the mean of its divisors is an integer number (132006752640).

Almost surely, 212422104230144 is an apocalyptic number.

12422104230144 is a gapful number since it is divisible by the number (14) 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 12422104230144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19008972380160).

12422104230144 is an abundant number, since it is smaller than the sum of its proper divisors (25595840530176).

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

12422104230144 is a wasteful number, since it uses less digits than its factorization.

12422104230144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8005 (or 7991 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 12422104230144 its reverse (44103240122421), we get a palindrome (56525344352565).

The spelling of 12422104230144 in words is "twelve trillion, four hundred twenty-two billion, one hundred four million, two hundred thirty thousand, one hundred forty-four".