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1221211020200 = 2352151346311677
BaseRepresentation
bin10001110001010101110…
…110010101101110101000
311022202011021222120122012
4101301111312111232220
5130002020010121300
62333003330215052
7154141514254043
oct21612566255650
94282137876565
101221211020200
11430a04869556
12178819124488
138b20cb44b32
144316d5abc5a
1521b76e1c435
hex11c55d95ba8

1221211020200 has 96 divisors (see below), whose sum is σ = 2859189202560. Its totient is φ = 485067744000.

The previous prime is 1221211020181. The next prime is 1221211020203. The reversal of 1221211020200 is 20201121221.

It is not an unprimeable number, because it can be changed into a prime (1221211020203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104576762 + ... + 104588438.

It is an arithmetic number, because the mean of its divisors is an integer number (29783220860).

Almost surely, 21221211020200 is an apocalyptic number.

1221211020200 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 1221211020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1429594601280).

1221211020200 is an abundant number, since it is smaller than the sum of its proper divisors (1637978182360).

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

1221211020200 is a wasteful number, since it uses less digits than its factorization.

1221211020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15307 (or 15298 counting only the distinct ones).

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

Adding to 1221211020200 its reverse (20201121221), we get a palindrome (1241412141421).

The spelling of 1221211020200 in words is "one trillion, two hundred twenty-one billion, two hundred eleven million, twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 151 200 302 604 755 1208 1510 3020 3463 3775 6040 6926 7550 11677 13852 15100 17315 23354 27704 30200 34630 46708 58385 69260 86575 93416 116770 138520 173150 233540 291925 346300 467080 522913 583850 692600 1045826 1167700 1763227 2091652 2335400 2614565 3526454 4183304 5229130 7052908 8816135 10458260 13072825 14105816 17632270 20916520 26145650 35264540 40437451 44080675 52291300 70529080 80874902 88161350 104582600 161749804 176322700 202187255 323499608 352645400 404374510 808749020 1010936275 1617498040 2021872550 4043745100 6106055101 8087490200 12212110202 24424220404 30530275505 48848440808 61060551010 122121102020 152651377525 244242204040 305302755050 610605510100 1221211020200