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1220221110200 = 235219185737273
BaseRepresentation
bin10001110000011010110…
…110001000011110111000
311022122121022021221101212
4101300122312020132320
5124443003101011300
62332321205102252
7154105134206051
oct21603266103670
94278538257355
101220221110200
11430547007514
121785a16b7988
138b0b2a2b481
14430b7d29728
1521b1a080935
hex11c1ad887b8

1220221110200 has 96 divisors (see below), whose sum is σ = 2855271893760. Its totient is φ = 484953446400.

The previous prime is 1220221110169. The next prime is 1220221110223. The reversal of 1220221110200 is 20111220221.

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 23 ways as a sum of consecutive naturals, for example, 32718764 + ... + 32756036.

It is an arithmetic number, because the mean of its divisors is an integer number (29742415560).

Almost surely, 21220221110200 is an apocalyptic number.

1220221110200 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 1220221110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1427635946880).

1220221110200 is an abundant number, since it is smaller than the sum of its proper divisors (1635050783560).

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

1220221110200 is a wasteful number, since it uses less digits than its factorization.

1220221110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38337 (or 38328 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1220221110200 its reverse (20111220221), we get a palindrome (1240332330421).

The spelling of 1220221110200 in words is "one trillion, two hundred twenty billion, two hundred twenty-one million, one hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 191 200 382 764 857 955 1528 1714 1910 3428 3820 4285 4775 6856 7640 8570 9550 17140 19100 21425 34280 37273 38200 42850 74546 85700 149092 163687 171400 186365 298184 327374 372730 654748 745460 818435 931825 1309496 1490920 1636870 1863650 3273740 3727300 4092175 6547480 7119143 7454600 8184350 14238286 16368700 28476572 31942961 32737400 35595715 56953144 63885922 71191430 127771844 142382860 159714805 177978575 255543688 284765720 319429610 355957150 638859220 711914300 798574025 1277718440 1423828600 1597148050 3194296100 6101105551 6388592200 12202211102 24404422204 30505527755 48808844408 61011055510 122022111020 152527638775 244044222040 305055277550 610110555100 1220221110200