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12130122420 = 22325135183813
BaseRepresentation
bin10110100110000001…
…01111101010110100
31011022100222001202100
423103000233222310
5144320302404140
65323354342100
7606411224253
oct132300575264
934270861670
1012130122420
115165157569
12242642a930
1311b40c3c40
1483101079a
154aedc5530
hex2d302fab4

12130122420 has 72 divisors (see below), whose sum is σ = 39625074216. Its totient is φ = 2985875712.

The previous prime is 12130122383. The next prime is 12130122457. The reversal of 12130122420 is 2422103121.

It is a happy number.

12130122420 is a `hidden beast` number, since 121 + 3 + 0 + 122 + 420 = 666.

12130122420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12130122383) and next prime (12130122457).

It can be written as a sum of positive squares in 4 ways, for example, as 45077796 + 12085044624 = 6714^2 + 109932^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12130122393 and 12130122402.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2589567 + ... + 2594246.

It is an arithmetic number, because the mean of its divisors is an integer number (550348253).

Almost surely, 212130122420 is an apocalyptic number.

12130122420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12130122420 is an abundant number, since it is smaller than the sum of its proper divisors (27494951796).

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

12130122420 is a wasteful number, since it uses less digits than its factorization.

12130122420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5183841 (or 5183836 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12130122420 its reverse (2422103121), we get a palindrome (14552225541).

The spelling of 12130122420 in words is "twelve billion, one hundred thirty million, one hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 5183813 10367626 15551439 20735252 25919065 31102878 46654317 51838130 62205756 67389569 77757195 93308634 103676260 134779138 155514390 186617268 202168707 233271585 269558276 311028780 336947845 404337414 466543170 606506121 673895690 808674828 933086340 1010843535 1213012242 1347791380 2021687070 2426024484 3032530605 4043374140 6065061210 12130122420