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1201221021 = 3711131937569
BaseRepresentation
bin100011110011001…
…0010110110011101
310002201022100110110
41013212102312131
54430003033041
6315110200233
741524132050
oct10746226635
93081270413
101201221021
11567070150
12296353079
13161b31190
14b576aa97
15706cc516
hex47992d9d

1201221021 has 128 divisors (see below), whose sum is σ = 2328883200. Its totient is φ = 530012160.

The previous prime is 1201221019. The next prime is 1201221029.

1201221021 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1201221021 - 21 = 1201221019 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1201220988 and 1201221006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201221029) 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 127 ways as a sum of consecutive naturals, for example, 2110825 + ... + 2111393.

It is an arithmetic number, because the mean of its divisors is an integer number (18194400).

Almost surely, 21201221021 is an apocalyptic number.

1201221021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1201221021 is a deficient number, since it is larger than the sum of its proper divisors (1127662179).

1201221021 is a wasteful number, since it uses less digits than its factorization.

1201221021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659.

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1201221021 is about 34658.6355905711. The cubic root of 1201221021 is about 1063.0188715691.

It can be divided in two parts, 12012 and 21021, that added together give a palindrome (33033).

The spelling of 1201221021 in words is "one billion, two hundred one million, two hundred twenty-one thousand, twenty-one".

Divisors: 1 3 7 11 13 19 21 33 37 39 57 77 91 111 133 143 209 231 247 259 273 399 407 429 481 569 627 703 741 777 1001 1221 1443 1463 1707 1729 2109 2717 2849 3003 3367 3983 4389 4921 5187 5291 6259 7397 7733 8151 8547 9139 10101 10811 11949 14763 15873 18777 19019 21053 22191 23199 27417 32433 37037 43813 51779 54131 57057 63159 63973 75677 81367 100529 111111 118921 131439 140543 147371 155337 162393 191919 227031 231583 244101 273689 301587 356763 400007 421629 442113 569569 694749 703703 821067 832447 983801 1200021 1545973 1621081 1708707 1915823 2111109 2497341 2800049 2951403 3010579 4400077 4637919 4863243 5200091 5747469 8400147 9031737 10821811 13200231 15600273 21074053 30800539 32465433 36400637 57201001 63222159 92401617 109201911 171603003 400407007 1201221021