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1221323340200 = 235219553158109
BaseRepresentation
bin10001110001011100100…
…010110011100110101000
311022202110010100000201012
4101301130202303212220
5130002232233341300
62333022421443052
7154144350050435
oct21613442634650
94282403300635
101221323340200
11430a622051a7
1217884a870488
138b22a1b0182
1443180488b8c
1521b81c07435
hex11c5c8b39a8

1221323340200 has 96 divisors (see below), whose sum is σ = 2989620036000. Its totient is φ = 462725625600.

The previous prime is 1221323340163. The next prime is 1221323340203. The reversal of 1221323340200 is 20433231221.

It is not an unprimeable number, because it can be changed into a prime (1221323340203) by changing a digit.

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, 20988746 + ... + 21046854.

It is an arithmetic number, because the mean of its divisors is an integer number (31141875375).

Almost surely, 21221323340200 is an apocalyptic number.

1221323340200 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 1221323340200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1494810018000).

1221323340200 is an abundant number, since it is smaller than the sum of its proper divisors (1768296695800).

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

1221323340200 is a wasteful number, since it uses less digits than its factorization.

1221323340200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63675 (or 63666 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 1221323340200 its reverse (20433231221), we get a palindrome (1241756571421).

The spelling of 1221323340200 in words is "one trillion, two hundred twenty-one billion, three hundred twenty-three million, three hundred forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 760 950 1900 3800 5531 11062 22124 27655 44248 55310 58109 105089 110620 116218 138275 210178 221240 232436 276550 290545 420356 464872 525445 553100 581090 840712 1050890 1104071 1106200 1162180 1452725 2101780 2208142 2324360 2627225 2905450 4203560 4416284 5254450 5520355 5810900 8832568 10508900 11040710 11621800 21017800 22081420 27601775 44162840 55203550 110407100 220814200 321400879 642801758 1285603516 1607004395 2571207032 3214008790 6106616701 6428017580 8035021975 12213233402 12856035160 16070043950 24426466804 30533083505 32140087900 48852933608 61066167010 64280175800 122132334020 152665417525 244264668040 305330835050 610661670100 1221323340200