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12225838200 = 2335227773561
BaseRepresentation
bin10110110001011011…
…10111110001111000
31011120001001221010020
423120231313301320
5200014303310300
65341054050440
7611652624102
oct133055676170
934501057106
1012225838200
115204192214
1224524a9a20
1311cab976b4
1483da08572
154b84d08a0
hex2d8b77c78

12225838200 has 96 divisors (see below), whose sum is σ = 38037438960. Its totient is φ = 3248409600.

The previous prime is 12225838169. The next prime is 12225838231. The reversal of 12225838200 is 283852221.

It is an interprime number because it is at equal distance from previous prime (12225838169) and next prime (12225838231).

It is a super-2 number, since 2×122258382002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129420 + ... + 202980.

Almost surely, 212225838200 is an apocalyptic number.

12225838200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12225838200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19018719480).

12225838200 is an abundant number, since it is smaller than the sum of its proper divisors (25811600760).

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

12225838200 is a wasteful number, since it uses less digits than its factorization.

12225838200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73857 (or 73848 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The spelling of 12225838200 in words is "twelve billion, two hundred twenty-five million, eight hundred thirty-eight thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 277 300 554 600 831 1108 1385 1662 2216 2770 3324 4155 5540 6648 6925 8310 11080 13850 16620 20775 27700 33240 41550 55400 73561 83100 147122 166200 220683 294244 367805 441366 588488 735610 882732 1103415 1471220 1765464 1839025 2206830 2942440 3678050 4413660 5517075 7356100 8827320 11034150 14712200 20376397 22068300 40752794 44136600 61129191 81505588 101881985 122258382 163011176 203763970 244516764 305645955 407527940 489033528 509409925 611291910 815055880 1018819850 1222583820 1528229775 2037639700 2445167640 3056459550 4075279400 6112919100 12225838200