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422124120 = 2332511374367
BaseRepresentation
bin11001001010010…
…001101001011000
31002102022010102200
4121022101221120
51331030432440
6105515330200
713313665365
oct3112215130
91072263380
10422124120
111a7307110
12b9450960
13695b97b2
14400c346c
15270d3c30
hex19291a58

422124120 has 384 divisors, whose sum is σ = 1596291840. Its totient is φ = 95800320.

The previous prime is 422124119. The next prime is 422124133. The reversal of 422124120 is 21421224.

422124120 is a `hidden beast` number, since 42 + 212 + 412 + 0 = 666.

It is a super-3 number, since 3×4221241203 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 422124093 and 422124102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6300327 + ... + 6300393.

It is an arithmetic number, because the mean of its divisors is an integer number (4157010).

Almost surely, 2422124120 is an apocalyptic number.

422124120 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 422124120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798145920).

422124120 is an abundant number, since it is smaller than the sum of its proper divisors (1174167720).

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

422124120 is a wasteful number, since it uses less digits than its factorization.

422124120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 422124120 is about 20545.6593955998. The cubic root of 422124120 is about 750.1475976180.

Adding to 422124120 its reverse (21421224), we get a palindrome (443545344).

The spelling of 422124120 in words is "four hundred twenty-two million, one hundred twenty-four thousand, one hundred twenty".