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12200122000 = 245311619091
BaseRepresentation
bin10110101110010111…
…10001011010010000
31011111020200102010101
423113023301122100
5144441212401000
65334334542144
7611221216543
oct132713613220
934436612111
1012200122000
1151a0718260
122445967954
1311c5762501
1483a43285a
154b6100e6a
hex2d72f1690

12200122000 has 160 divisors (see below), whose sum is σ = 32712870528. Its totient is φ = 4363200000.

The previous prime is 12200121971. The next prime is 12200122003. The reversal of 12200122000 is 22100221.

12200122000 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 not an unprimeable number, because it can be changed into a prime (12200122003) 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, 1337455 + ... + 1346545.

Almost surely, 212200122000 is an apocalyptic number.

12200122000 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 12200122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16356435264).

12200122000 is an abundant number, since it is smaller than the sum of its proper divisors (20512748528).

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

12200122000 is a wasteful number, since it uses less digits than its factorization.

12200122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9186 (or 9170 counting only the distinct ones).

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

Adding to 12200122000 its reverse (22100221), we get a palindrome (12222222221).

The spelling of 12200122000 in words is "twelve billion, two hundred million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 61 80 88 100 110 122 125 176 200 220 244 250 275 305 400 440 488 500 550 610 671 880 976 1000 1100 1220 1342 1375 1525 2000 2200 2440 2684 2750 3050 3355 4400 4880 5368 5500 6100 6710 7625 9091 10736 11000 12200 13420 15250 16775 18182 22000 24400 26840 30500 33550 36364 45455 53680 61000 67100 72728 83875 90910 100001 122000 134200 145456 167750 181820 200002 227275 268400 335500 363640 400004 454550 500005 554551 671000 727280 800008 909100 1000010 1109102 1136375 1342000 1600016 1818200 2000020 2218204 2272750 2500025 2772755 3636400 4000040 4436408 4545500 5000050 5545510 6100061 8000080 8872816 9091000 10000100 11091020 12200122 12500125 13863775 18182000 20000200 22182040 24400244 25000250 27727550 30500305 40000400 44364080 48800488 50000500 55455100 61000610 69318875 97600976 100001000 110910200 122001220 138637750 152501525 200002000 221820400 244002440 277275500 305003050 488004880 554551000 610006100 762507625 1109102000 1220012200 1525015250 2440024400 3050030500 6100061000 12200122000