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1201201120 = 25571935557
BaseRepresentation
bin100011110011000…
…1101111111100000
310002201021100011101
41013212031333200
54430001413440
6315105524144
741524020040
oct10746157740
93081240141
101201201120
115670571a9
12296343654
13161b250c2
14b5763720
15706c669a
hex4798dfe0

1201201120 has 96 divisors (see below), whose sum is σ = 3260634048. Its totient is φ = 409632768.

The previous prime is 1201201093. The next prime is 1201201121. The reversal of 1201201120 is 211021021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1201201097 and 1201201106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201201121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 213382 + ... + 218938.

It is an arithmetic number, because the mean of its divisors is an integer number (33964938).

Almost surely, 21201201120 is an apocalyptic number.

1201201120 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 1201201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1630317024).

1201201120 is an abundant number, since it is smaller than the sum of its proper divisors (2059432928).

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

1201201120 is a wasteful number, since it uses less digits than its factorization.

1201201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5772 (or 5764 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 1201201120 is about 34658.3484892169. The cubic root of 1201201120 is about 1063.0130010826.

Adding to 1201201120 its reverse (211021021), we get a palindrome (1412222141).

The spelling of 1201201120 in words is "one billion, two hundred one million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 193 224 280 386 560 772 965 1120 1351 1544 1930 2702 3088 3860 5404 5557 6176 6755 7720 10808 11114 13510 15440 21616 22228 27020 27785 30880 38899 43232 44456 54040 55570 77798 88912 108080 111140 155596 177824 194495 216160 222280 311192 388990 444560 622384 777980 889120 1072501 1244768 1555960 2145002 3111920 4290004 5362505 6223840 7507507 8580008 10725010 15015014 17160016 21450020 30030028 34320032 37537535 42900040 60060056 75075070 85800080 120120112 150150140 171600160 240240224 300300280 600600560 1201201120