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1224420120 = 2332571144171
BaseRepresentation
bin100100011111011…
…0010101100011000
310011022221222122100
41020332302230120
510001422420440
6321255323400
742225253650
oct11076625430
93138858570
101224420120
11579175a60
122a2080560
13166894761
14b8889360
1572761230
hex48fb2b18

1224420120 has 192 divisors, whose sum is σ = 4961399040. Its totient is φ = 254419200.

The previous prime is 1224420103. The next prime is 1224420133. The reversal of 1224420120 is 210244221.

1224420120 is a `hidden beast` number, since 1 + 224 + 420 + 1 + 20 = 666.

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 = 1224420093 and 1224420102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5635 + ... + 49805.

It is an arithmetic number, because the mean of its divisors is an integer number (25840620).

Almost surely, 21224420120 is an apocalyptic number.

1224420120 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 1224420120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2480699520).

1224420120 is an abundant number, since it is smaller than the sum of its proper divisors (3736978920).

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

1224420120 is a wasteful number, since it uses less digits than its factorization.

1224420120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44206 (or 44199 counting only the distinct ones).

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

The square root of 1224420120 is about 34991.7150194157. The cubic root of 1224420120 is about 1069.8186200836.

Adding to 1224420120 its reverse (210244221), we get a palindrome (1434664341).

It can be divided in two parts, 12244201 and 20, that added together give a palindrome (12244221).

The spelling of 1224420120 in words is "one billion, two hundred twenty-four million, four hundred twenty thousand, one hundred twenty".