Search a number
-
+
1212100120 = 235711393539
BaseRepresentation
bin100100000111111…
…0010111000011000
310010110210001210001
41020033302320120
54440244200440
6320135302344
742015452410
oct11017627030
93113701701
101212100120
11572220840
12299b1a9b4
1316416cc0a
14b6d9d640
157162ab9a
hex483f2e18

1212100120 has 64 divisors (see below), whose sum is σ = 3400185600. Its totient is φ = 377796480.

The previous prime is 1212100067. The next prime is 1212100121. The reversal of 1212100120 is 210012121.

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 = 1212100097 and 1212100106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1212100121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193690 + ... + 199849.

It is an arithmetic number, because the mean of its divisors is an integer number (53127900).

Almost surely, 21212100120 is an apocalyptic number.

1212100120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1212100120 is an abundant number, since it is smaller than the sum of its proper divisors (2188085480).

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

1212100120 is a wasteful number, since it uses less digits than its factorization.

1212100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393568 (or 393564 counting only the distinct ones).

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

The square root of 1212100120 is about 34815.2282772927. The cubic root of 1212100120 is about 1066.2183797677.

Adding to 1212100120 its reverse (210012121), we get a palindrome (1422112241).

The spelling of 1212100120 in words is "one billion, two hundred twelve million, one hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080 393539 787078 1574156 1967695 2754773 3148312 3935390 4328929 5509546 7870780 8657858 11019092 13773865 15741560 17315716 21644645 22038184 27547730 30302503 34631432 43289290 55095460 60605006 86578580 110190920 121210012 151512515 173157160 242420024 303025030 606050060 1212100120