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1211330120 = 2357111330253
BaseRepresentation
bin100100000110011…
…0110111001001000
310010102022221112112
41020030312321020
54440100030440
6320111001452
742006064460
oct11014667110
93112287475
101211330120
11571845280
12299809288
13163c605b0
14b6c3cba0
1571527965
hex48336e48

1211330120 has 128 divisors (see below), whose sum is σ = 3659523840. Its totient is φ = 348503040.

The previous prime is 1211330089. The next prime is 1211330129. The reversal of 1211330120 is 210331121.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1211330095 and 1211330104.

It is not an unprimeable number, because it can be changed into a prime (1211330129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24914 + ... + 55166.

It is an arithmetic number, because the mean of its divisors is an integer number (28590030).

Almost surely, 21211330120 is an apocalyptic number.

1211330120 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 1211330120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1829761920).

1211330120 is an abundant number, since it is smaller than the sum of its proper divisors (2448193720).

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

1211330120 is a wasteful number, since it uses less digits than its factorization.

1211330120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30295 (or 30291 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1211330120 is about 34804.1681411868. The cubic root of 1211330120 is about 1065.9925562713.

Adding to 1211330120 its reverse (210331121), we get a palindrome (1421661241).

The spelling of 1211330120 in words is "one billion, two hundred eleven million, three hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 13 14 20 22 26 28 35 40 44 52 55 56 65 70 77 88 91 104 110 130 140 143 154 182 220 260 280 286 308 364 385 440 455 520 572 616 715 728 770 910 1001 1144 1430 1540 1820 2002 2860 3080 3640 4004 5005 5720 8008 10010 20020 30253 40040 60506 121012 151265 211771 242024 302530 332783 393289 423542 605060 665566 786578 847084 1058855 1210120 1331132 1573156 1663915 1694168 1966445 2117710 2329481 2662264 2753023 3146312 3327830 3932890 4235420 4326179 4658962 5506046 6655660 7865780 8470840 8652358 9317924 11012092 11647405 13311320 13765115 15731560 17304716 18635848 21630895 22024184 23294810 27530230 30283253 34609432 43261790 46589620 55060460 60566506 86523580 93179240 110120920 121133012 151416265 173047160 242266024 302832530 605665060 1211330120