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1220222122000 = 24537257339139
BaseRepresentation
bin10001110000011010111…
…001111111100000010000
311022122121101012100022221
4101300122321333200100
5124443003330401000
62332321242510424
7154105145621650
oct21603271774020
94278541170287
101220222122000
11430547638712
121785a1b05414
138b0b2cc3b7b
14430b8110360
1521b1a1d061a
hex11c1ae7f810

1220222122000 has 160 divisors (see below), whose sum is σ = 3385127266560. Its totient is φ = 416732774400.

The previous prime is 1220222121961. The next prime is 1220222122033. The reversal of 1220222122000 is 2212220221.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 3428431 + ... + 3767569.

It is an arithmetic number, because the mean of its divisors is an integer number (21157045416).

Almost surely, 21220222122000 is an apocalyptic number.

1220222122000 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 1220222122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1692563633280).

1220222122000 is an abundant number, since it is smaller than the sum of its proper divisors (2164905144560).

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

1220222122000 is a wasteful number, since it uses less digits than its factorization.

1220222122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339426 (or 339410 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 1220222122000 its reverse (2212220221), we get a palindrome (1222434342221).

The spelling of 1220222122000 in words is "one trillion, two hundred twenty billion, two hundred twenty-two million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 257 280 350 400 500 514 560 700 875 1000 1028 1285 1400 1750 1799 2000 2056 2570 2800 3500 3598 4112 5140 6425 7000 7196 8995 10280 12850 14000 14392 17990 20560 25700 28784 32125 35980 44975 51400 64250 71960 89950 102800 128500 143920 179900 224875 257000 339139 359800 449750 514000 678278 719600 899500 1356556 1695695 1799000 2373973 2713112 3391390 3598000 4747946 5426224 6782780 8478475 9495892 11869865 13565560 16956950 18991784 23739730 27131120 33913900 37983568 42392375 47479460 59349325 67827800 84784750 87158723 94958920 118698650 135655600 169569500 174317446 189917840 237397300 296746625 339139000 348634892 435793615 474794600 593493250 610111061 678278000 697269784 871587230 949589200 1186986500 1220222122 1394539568 1743174460 2178968075 2373973000 2440444244 3050555305 3486348920 4357936150 4747946000 4880888488 6101110610 6972697840 8715872300 9761776976 10894840375 12202221220 15252776525 17431744600 21789680750 24404442440 30505553050 34863489200 43579361500 48808884880 61011106100 76263882625 87158723000 122022212200 152527765250 174317446000 244044424400 305055530500 610111061000 1220222122000