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12420185202 = 2321946378437
BaseRepresentation
bin10111001000100110…
…01111110001110010
31012001120202210002100
423210103033301302
5200414031411302
65412235401230
7616532555325
oct134423176162
935046683070
1012420185202
1152a3963a77
1224a75b3216
13122c222919
1485b7587bc
154ca5bed1c
hex2e44cfc72

12420185202 has 48 divisors (see below), whose sum is σ = 28388280960. Its totient is φ = 3913642656.

The previous prime is 12420185191. The next prime is 12420185203. The reversal of 12420185202 is 20258102421.

12420185202 is a `hidden beast` number, since 124 + 2 + 0 + 18 + 520 + 2 = 666.

It is a super-3 number, since 3×124201852023 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (12420185203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119128 + ... + 197564.

It is an arithmetic number, because the mean of its divisors is an integer number (591422520).

Almost surely, 212420185202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12420185202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14194140480).

12420185202 is an abundant number, since it is smaller than the sum of its proper divisors (15968095758).

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

12420185202 is a wasteful number, since it uses less digits than its factorization.

12420185202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78927 (or 78924 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 12420185202 its reverse (20258102421), we get a palindrome (32678287623).

The spelling of 12420185202 in words is "twelve billion, four hundred twenty million, one hundred eighty-five thousand, two hundred two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 463 926 1389 2778 4167 8334 8797 17594 26391 52782 78437 79173 156874 158346 235311 470622 705933 1411866 1490303 2980606 4470909 8941818 13412727 26825454 36316331 72632662 108948993 217897986 326846979 653693958 690010289 1380020578 2070030867 4140061734 6210092601 12420185202