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1228120641 = 3211107191607
BaseRepresentation
bin100100100110011…
…1010001001000001
310011120220222210200
41021030322021001
510003344330031
6321510515413
742301565436
oct11114721101
93146828720
101228120641
11580273240
122a3365b69
1316758bc07
14b916db8d
1572c428e6
hex4933a241

1228120641 has 48 divisors (see below), whose sum is σ = 1966768128. Its totient is φ = 732290400.

The previous prime is 1228120633. The next prime is 1228120679. The reversal of 1228120641 is 1460218221.

1228120641 is a `hidden beast` number, since 1 + 2 + 2 + 8 + 12 + 0 + 641 = 666.

It is not a de Polignac number, because 1228120641 - 23 = 1228120633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1228120631) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2022960 + ... + 2023566.

It is an arithmetic number, because the mean of its divisors is an integer number (40974336).

Almost surely, 21228120641 is an apocalyptic number.

1228120641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1228120641 is a deficient number, since it is larger than the sum of its proper divisors (738647487).

1228120641 is a wasteful number, since it uses less digits than its factorization.

1228120641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922 (or 919 counting only the distinct ones).

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

The square root of 1228120641 is about 35044.5522299829. The cubic root of 1228120641 is about 1070.8952942909.

Adding to 1228120641 its reverse (1460218221), we get a palindrome (2688338862).

The spelling of 1228120641 in words is "one billion, two hundred twenty-eight million, one hundred twenty thousand, six hundred forty-one".

Divisors: 1 3 9 11 33 99 107 191 321 573 607 963 1177 1719 1821 2101 3531 5463 6303 6677 10593 18909 20031 20437 60093 61311 64949 115937 183933 194847 224807 347811 584541 674421 714439 1043433 1275307 2023263 2143317 3825921 6429951 11477763 12405259 37215777 111647331 136457849 409373547 1228120641