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11000000122000 = 245321181132141
BaseRepresentation
bin1010000000010010001100…
…0110011000110010010000
31102221120220220212212122221
42200010203012120302100
52420211000012401000
635221155202110424
72213503154212111
oct240044306306220
942846826785587
1011000000122000
11356108a33263a
121297a5994b414
1361a3ac467746
142a058d5a8208
151412066d061a
hexa0123198c90

11000000122000 has 160 divisors (see below), whose sum is σ = 26757841638528. Its totient is φ = 4373611200000.

The previous prime is 11000000121973. The next prime is 11000000122009. The reversal of 11000000122000 is 22100000011.

It is not an unprimeable number, because it can be changed into a prime (11000000122009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 342225930 + ... + 342258070.

Almost surely, 211000000122000 is an apocalyptic number.

11000000122000 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 11000000122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13378920819264).

11000000122000 is an abundant number, since it is smaller than the sum of its proper divisors (15757841516528).

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

11000000122000 is a wasteful number, since it uses less digits than its factorization.

11000000122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33186 (or 33170 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 11000000122000 its reverse (22100000011), we get a palindrome (11022100122011).

The spelling of 11000000122000 in words is "eleven trillion, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 211 250 400 422 500 811 844 1000 1055 1622 1688 2000 2110 3244 3376 4055 4220 5275 6488 8110 8440 10550 12976 16220 16880 20275 21100 26375 32141 32440 40550 42200 52750 64282 64880 81100 84400 101375 105500 128564 160705 162200 171121 202750 211000 257128 321410 324400 342242 405500 422000 514256 642820 684484 803525 811000 855605 1285640 1368968 1607050 1622000 1711210 2571280 2737936 3214100 3422420 4017625 4278025 6428200 6781751 6844840 8035250 8556050 12856400 13563502 13689680 16070500 17112100 21390125 26066351 27127004 32141000 33908755 34224200 42780250 52132702 54254008 64282000 67817510 68448400 85560500 104265404 108508016 130331755 135635020 169543775 171121000 208530808 260663510 271270040 339087550 342242000 417061616 521327020 542540080 651658775 678175100 847718875 1042654040 1303317550 1356350200 1695437750 2085308080 2606635100 2712700400 3258293875 3390875500 5213270200 5500000061 6516587750 6781751000 10426540400 11000000122 13033175500 13563502000 22000000244 26066351000 27500000305 44000000488 52132702000 55000000610 88000000976 110000001220 137500001525 220000002440 275000003050 440000004880 550000006100 687500007625 1100000012200 1375000015250 2200000024400 2750000030500 5500000061000 11000000122000