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120221230200 = 23352316463507
BaseRepresentation
bin110111111110110111…
…1100110010001111000
3102111022102110021021120
41233331233212101320
53432203113331300
6131121234105240
711454123411261
oct1577557462170
9374272407246
10120221230200
1146a928286a5
121b371a1b220
13b44bc95a06
145b66893968
1531d96053a0
hex1bfdbe6478

120221230200 has 96 divisors (see below), whose sum is σ = 384707996160. Its totient is φ = 31024828800.

The previous prime is 120221230189. The next prime is 120221230201. The reversal of 120221230200 is 2032122021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 120221230200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120221230201) 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, 3213154 + ... + 3250353.

It is an arithmetic number, because the mean of its divisors is an integer number (4007374960).

Almost surely, 2120221230200 is an apocalyptic number.

120221230200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120221230200 is an abundant number, since it is smaller than the sum of its proper divisors (264486765960).

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

120221230200 is a wasteful number, since it uses less digits than its factorization.

120221230200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6463557 (or 6463548 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 120221230200 its reverse (2032122021), we get a palindrome (122253352221).

The spelling of 120221230200 in words is "one hundred twenty billion, two hundred twenty-one million, two hundred thirty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 31 40 50 60 62 75 93 100 120 124 150 155 186 200 248 300 310 372 465 600 620 744 775 930 1240 1550 1860 2325 3100 3720 4650 6200 9300 18600 6463507 12927014 19390521 25854028 32317535 38781042 51708056 64635070 77562084 96952605 129270140 155124168 161587675 193905210 200368717 258540280 323175350 387810420 400737434 484763025 601106151 646350700 775620840 801474868 969526050 1001843585 1202212302 1292701400 1602949736 1939052100 2003687170 2404424604 3005530755 3878104200 4007374340 4808849208 5009217925 6011061510 8014748680 10018435850 12022123020 15027653775 20036871700 24044246040 30055307550 40073743400 60110615100 120221230200