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121221020200 = 23527311278413
BaseRepresentation
bin111000011100101010…
…1011111101000101000
3102120220002201212022211
41300321111133220220
53441230040121300
6131404351054504
711520653446030
oct1607125375050
9376802655284
10121221020200
1147456118725
121b5b0811434
13b57b15b427
145c1d5888c0
1532472944ba
hex1c3955fa28

121221020200 has 96 divisors (see below), whose sum is σ = 323138424960. Its totient is φ = 41427705600.

The previous prime is 121221020189. The next prime is 121221020203. The reversal of 121221020200 is 2020122121.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (121221020203) 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, 296194 + ... + 574606.

It is an arithmetic number, because the mean of its divisors is an integer number (3366025260).

Almost surely, 2121221020200 is an apocalyptic number.

121221020200 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 121221020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161569212480).

121221020200 is an abundant number, since it is smaller than the sum of its proper divisors (201917404760).

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

121221020200 is a wasteful number, since it uses less digits than its factorization.

121221020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278747 (or 278738 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 121221020200 its reverse (2020122121), we get a palindrome (123241142321).

The spelling of 121221020200 in words is "one hundred twenty-one billion, two hundred twenty-one million, twenty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 311 350 622 700 1244 1400 1555 2177 2488 3110 4354 6220 7775 8708 10885 12440 15550 17416 21770 31100 43540 54425 62200 87080 108850 217700 278413 435400 556826 1113652 1392065 1948891 2227304 2784130 3897782 5568260 6960325 7795564 9744455 11136520 13920650 15591128 19488910 27841300 38977820 48722275 55682600 77955640 86586443 97444550 173172886 194889100 346345772 389778200 432932215 606105101 692691544 865864430 1212210202 1731728860 2164661075 2424420404 3030525505 3463457720 4329322150 4848840808 6061051010 8658644300 12122102020 15152627525 17317288600 24244204040 30305255050 60610510100 121221020200