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12210022000 = 2453114312907
BaseRepresentation
bin10110101111100011…
…00010011001110000
31011111221022101101001
423113301202121300
5200001231201000
65335331051344
7611401321531
oct132761423160
934457271331
1012210022000
1151a626a280
122449140b54
1311c781a6b7
1483b88c688
154b6e0946a
hex2d7c62670

12210022000 has 160 divisors (see below), whose sum is σ = 32959390464. Its totient is φ = 4336416000.

The previous prime is 12210021997. The next prime is 12210022001. The reversal of 12210022000 is 22001221.

12210022000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12210022001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 939547 + ... + 952453.

Almost surely, 212210022000 is an apocalyptic number.

12210022000 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 12210022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16479695232).

12210022000 is an abundant number, since it is smaller than the sum of its proper divisors (20749368464).

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

12210022000 is a wasteful number, since it uses less digits than its factorization.

12210022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12984 (or 12968 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 12210022000 its reverse (22001221), we get a palindrome (12232023221).

The spelling of 12210022000 in words is "twelve billion, two hundred ten million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 43 44 50 55 80 86 88 100 110 125 172 176 200 215 220 250 275 344 400 430 440 473 500 550 688 860 880 946 1000 1075 1100 1375 1720 1892 2000 2150 2200 2365 2750 3440 3784 4300 4400 4730 5375 5500 7568 8600 9460 10750 11000 11825 12907 17200 18920 21500 22000 23650 25814 37840 43000 47300 51628 59125 64535 86000 94600 103256 118250 129070 141977 189200 206512 236500 258140 283954 322675 473000 516280 555001 567908 645350 709885 946000 1032560 1110002 1135816 1290700 1419770 1613375 2220004 2271632 2581400 2775005 2839540 3226750 3549425 4440008 5162800 5550010 5679080 6105011 6453500 7098850 8880016 11100020 11358160 12210022 12907000 13875025 14197700 17747125 22200040 24420044 25814000 27750050 28395400 30525055 35494250 44400080 48840088 55500100 56790800 61050110 69375125 70988500 97680176 111000200 122100220 138750250 141977000 152625275 222000400 244200440 277500500 283954000 305250550 488400880 555001000 610501100 763126375 1110002000 1221002200 1526252750 2442004400 3052505500 6105011000 12210022000