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12100022000 = 2453111732353
BaseRepresentation
bin10110100010011011…
…11010111011110000
31011020021022210201222
423101031322323300
5144240101201000
65320401244212
7605564330033
oct132115727360
934207283658
1012100022000
11514a168690
122418333668
1311aaab5341
1482b01701a
154ac42ba85
hex2d137aef0

12100022000 has 160 divisors (see below), whose sum is σ = 33796211904. Its totient is φ = 4141056000.

The previous prime is 12100021993. The next prime is 12100022057. The reversal of 12100022000 is 22000121.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 357824 + ... + 390176.

Almost surely, 212100022000 is an apocalyptic number.

12100022000 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 12100022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16898105952).

12100022000 is an abundant number, since it is smaller than the sum of its proper divisors (21696189904).

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

12100022000 is a wasteful number, since it uses less digits than its factorization.

12100022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32404 (or 32388 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 12100022000 its reverse (22000121), we get a palindrome (12122022121).

The spelling of 12100022000 in words is "twelve billion, one hundred million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 25 34 40 44 50 55 68 80 85 88 100 110 125 136 170 176 187 200 220 250 272 275 340 374 400 425 440 500 550 680 748 850 880 935 1000 1100 1360 1375 1496 1700 1870 2000 2125 2200 2750 2992 3400 3740 4250 4400 4675 5500 6800 7480 8500 9350 11000 14960 17000 18700 22000 23375 32353 34000 37400 46750 64706 74800 93500 129412 161765 187000 258824 323530 355883 374000 517648 550001 647060 711766 808825 1100002 1294120 1423532 1617650 1779415 2200004 2588240 2750005 2847064 3235300 3558830 4044125 4400008 5500010 5694128 6050011 6470600 7117660 8088250 8800016 8897075 11000020 12100022 12941200 13750025 14235320 16176500 17794150 22000040 24200044 27500050 28470640 30250055 32353000 35588300 44000080 44485375 48400088 55000100 60500110 64706000 68750125 71176600 88970750 96800176 110000200 121000220 137500250 142353200 151250275 177941500 220000400 242000440 275000500 302500550 355883000 484000880 550001000 605001100 711766000 756251375 1100002000 1210002200 1512502750 2420004400 3025005500 6050011000 12100022000