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200220121121200 = 24521729444135459
BaseRepresentation
bin101101100001100101100001…
…001100100100000110110000
3222020220212010111100121100221
4231201211201030210012300
5202220401302001334300
61545455504233022424
760113266152056455
oct5541454114440660
9866825114317327
10200220121121200
1158883970710734
121a558001554a14
1387948a40b301b
1437629c411982c
1518232b8c0731a
hexb619613241b0

200220121121200 has 60 divisors (see below), whose sum is σ = 509324655187080. Its totient is φ = 75376986772480.

The previous prime is 200220121121173. The next prime is 200220121121201. The reversal of 200220121121200 is 2121121022002.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (200220121121201) 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 11 ways as a sum of consecutive naturals, for example, 14722060930 + ... + 14722074529.

It is an arithmetic number, because the mean of its divisors is an integer number (8488744253118).

Almost surely, 2200220121121200 is an apocalyptic number.

200220121121200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200220121121200 is an abundant number, since it is smaller than the sum of its proper divisors (309104534065880).

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

200220121121200 is a wasteful number, since it uses less digits than its factorization.

200220121121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29444135494 (or 29444135483 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 200220121121200 its reverse (2121121022002), we get a palindrome (202341242143202).

The spelling of 200220121121200 in words is "two hundred trillion, two hundred twenty billion, one hundred twenty-one million, one hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 136 170 200 272 340 400 425 680 850 1360 1700 3400 6800 29444135459 58888270918 117776541836 147220677295 235553083672 294441354590 471106167344 500550302803 588882709180 736103386475 1001100605606 1177765418360 1472206772950 2002201211212 2355530836720 2502751514015 2944413545900 4004402422424 5005503028030 5888827091800 8008804844848 10011006056060 11777654183600 12513757570075 20022012112120 25027515140150 40044024224240 50055030280300 100110060560600 200220121121200