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12102200420 = 2254189165829
BaseRepresentation
bin10110100010101100…
…01110110001100100
31011020102102110222012
423101112032301210
5144241130403140
65320520053352
7605622002102
oct132126166144
934212373865
1012102200420
115150416332
122419004258
1311ab398a4b
1482b422c72
154ac70c265
hex2d158ec64

12102200420 has 48 divisors (see below), whose sum is σ = 26327170800. Its totient is φ = 4669716480.

The previous prime is 12102200399. The next prime is 12102200477. The reversal of 12102200420 is 2400220121.

It can be written as a sum of positive squares in 8 ways, for example, as 966463744 + 11135736676 = 31088^2 + 105526^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12102200395 and 12102200404.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9935 + ... + 155894.

It is an arithmetic number, because the mean of its divisors is an integer number (548482725).

Almost surely, 212102200420 is an apocalyptic number.

12102200420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12102200420 is an abundant number, since it is smaller than the sum of its proper divisors (14224970380).

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

12102200420 is a wasteful number, since it uses less digits than its factorization.

12102200420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165968 (or 165966 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 12102200420 its reverse (2400220121), we get a palindrome (14502420541).

The spelling of 12102200420 in words is "twelve billion, one hundred two million, two hundred thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 89 164 178 205 356 410 445 820 890 1780 3649 7298 14596 18245 36490 72980 165829 331658 663316 829145 1658290 3316580 6798989 13597978 14758781 27195956 29517562 33994945 59035124 67989890 73793905 135979780 147587810 295175620 605110021 1210220042 2420440084 3025550105 6051100210 12102200420