Search a number
-
+
2112124220412 = 2232383131703819
BaseRepresentation
bin11110101111000100011…
…010011111001111111100
321110220202120100101221020
4132233010122133033330
5234101112300023122
64254144012104140
7305411256436653
oct36570432371774
97426676311836
102112124220412
11744824072158
122a1416165050
13124231b7c51b
1474327c2619a
1539e1b823c5c
hex1ebc469f3fc

2112124220412 has 96 divisors (see below), whose sum is σ = 5244258539520. Its totient is φ = 660237589440.

The previous prime is 2112124220411. The next prime is 2112124220429. The reversal of 2112124220412 is 2140224212112.

It is a super-2 number, since 2×21121242204122 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112124220411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2649039 + ... + 3352857.

It is an arithmetic number, because the mean of its divisors is an integer number (54627693120).

Almost surely, 22112124220412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112124220412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2622129269760).

2112124220412 is an abundant number, since it is smaller than the sum of its proper divisors (3132134319108).

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

2112124220412 is a wasteful number, since it uses less digits than its factorization.

2112124220412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704063 (or 704061 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 2112124220412 its reverse (2140224212112), we get a palindrome (4252348432524).

The spelling of 2112124220412 in words is "two trillion, one hundred twelve billion, one hundred twenty-four million, two hundred twenty thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 23 46 69 83 92 131 138 166 249 262 276 332 393 498 524 786 996 1572 1909 3013 3818 5727 6026 7636 9039 10873 11454 12052 18078 21746 22908 32619 36156 43492 65238 130476 250079 500158 703819 750237 1000316 1407638 1500474 2111457 2815276 3000948 4222914 8445828 16187837 32375674 48563511 58416977 64751348 92200289 97127022 116833954 175250931 184400578 194254044 233667908 276600867 350501862 368801156 553201734 701003724 1106403468 1343590471 2120606647 2687180942 4030771413 4241213294 5374361884 6361819941 7652623987 8061542826 8482426588 12723639882 15305247974 16123085652 22957871961 25447279764 30610495948 45915743922 91831487844 176010351701 352020703402 528031055103 704041406804 1056062110206 2112124220412