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12212135000 = 235413892111
BaseRepresentation
bin10110101111110011…
…00110010001011000
31011112002021201212022
423113321212101120
5200002301310000
65335444234012
7611425302062
oct132771462130
934462251768
1012212135000
1151a748285a
12244999b908
1311c80aa3b0
1483bc7c732
154b71c5585
hex2d7e66458

12212135000 has 160 divisors (see below), whose sum is σ = 31175020800. Its totient is φ = 4456320000.

The previous prime is 12212134997. The next prime is 12212135041. The reversal of 12212135000 is 53121221.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 12212135000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5783945 + ... + 5786055.

It is an arithmetic number, because the mean of its divisors is an integer number (194843880).

Almost surely, 212212135000 is an apocalyptic number.

12212135000 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 12212135000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15587510400).

12212135000 is an abundant number, since it is smaller than the sum of its proper divisors (18962885800).

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

12212135000 is a wasteful number, since it uses less digits than its factorization.

12212135000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2239 (or 2220 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

Adding to 12212135000 its reverse (53121221), we get a palindrome (12265256221).

The spelling of 12212135000 in words is "twelve billion, two hundred twelve million, one hundred thirty-five thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 89 100 104 125 130 178 200 250 260 325 356 445 500 520 625 650 712 890 1000 1157 1250 1300 1625 1780 2111 2225 2314 2500 2600 3250 3560 4222 4450 4628 5000 5785 6500 8125 8444 8900 9256 10555 11125 11570 13000 16250 16888 17800 21110 22250 23140 27443 28925 32500 42220 44500 46280 52775 54886 55625 57850 65000 84440 89000 105550 109772 111250 115700 137215 144625 187879 211100 219544 222500 231400 263875 274430 289250 375758 422200 445000 527750 548860 578500 686075 723125 751516 939395 1055500 1097720 1157000 1319375 1372150 1446250 1503032 1878790 2111000 2442427 2638750 2744300 2892500 3430375 3757580 4696975 4884854 5277500 5488600 5785000 6860750 7515160 9393950 9769708 10555000 12212135 13721500 17151875 18787900 19539416 23484875 24424270 27443000 34303750 37575800 46969750 48848540 61060675 68607500 93939500 97697080 117424375 122121350 137215000 187879000 234848750 244242700 305303375 469697500 488485400 610606750 939395000 1221213500 1526516875 2442427000 3053033750 6106067500 12212135000