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12120022420 = 22511112349057
BaseRepresentation
bin10110100100110100…
…01101110110010100
31011021122221221011021
423102122031312110
5144310211204140
65322354050524
7606226330222
oct132232156624
934248857137
1012120022420
11515a489260
122422b79a44
1311b1c989cc
1482d941b12
154ae07cb4a
hex2d268dd94

12120022420 has 48 divisors (see below), whose sum is σ = 27791160768. Its totient is φ = 4403266560.

The previous prime is 12120022393. The next prime is 12120022427. The reversal of 12120022420 is 2422002121.

12120022420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×121200224202 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12120022394 and 12120022403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12120022427) 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 15 ways as a sum of consecutive naturals, for example, 222532 + ... + 271588.

It is an arithmetic number, because the mean of its divisors is an integer number (578982516).

Almost surely, 212120022420 is an apocalyptic number.

12120022420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12120022420 is an abundant number, since it is smaller than the sum of its proper divisors (15671138348).

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

12120022420 is a wasteful number, since it uses less digits than its factorization.

12120022420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50200 (or 50198 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 12120022420 its reverse (2422002121), we get a palindrome (14542024541).

The spelling of 12120022420 in words is "twelve billion, one hundred twenty million, twenty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 1123 2246 4492 5615 11230 12353 22460 24706 49057 49412 61765 98114 123530 196228 245285 247060 490570 539627 981140 1079254 2158508 2698135 5396270 10792540 55091011 110182022 220364044 275455055 550910110 606001121 1101820220 1212002242 2424004484 3030005605 6060011210 12120022420