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120201122120200 = 235211115319473789
BaseRepresentation
bin11011010101001010000001…
…001011111000001000001000
3120202121010002212112022222021
4123111022001023320020020
5111223333344230321300
61103351344433534224
734214146601043502
oct3325120113701010
9522533085468867
10120201122120200
1135333011888980
1211593948714374
13520bbc0072ca4
142197aa01aad72
15dd6a9137ed1a
hex6d52812f8208

120201122120200 has 96 divisors (see below), whose sum is σ = 304877042424000. Its totient is φ = 43709027667200.

The previous prime is 120201122120147. The next prime is 120201122120207. The reversal of 120201122120200 is 2021221102021.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (120201122120207) 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, 253464906 + ... + 253938694.

It is an arithmetic number, because the mean of its divisors is an integer number (3175802525250).

Almost surely, 2120201122120200 is an apocalyptic number.

120201122120200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120201122120200 is an abundant number, since it is smaller than the sum of its proper divisors (184675920303800).

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

120201122120200 is a wasteful number, since it uses less digits than its factorization.

120201122120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589135 (or 589126 counting only the distinct ones).

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

Adding to 120201122120200 its reverse (2021221102021), we get a palindrome (122222343222221).

The spelling of 120201122120200 in words is "one hundred twenty trillion, two hundred one billion, one hundred twenty-two million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 115319 230638 461276 473789 576595 922552 947578 1153190 1268509 1895156 2306380 2368945 2537018 2882975 3790312 4612760 4737890 5074036 5211679 5765950 6342545 9475780 10148072 10423358 11531900 11844725 12685090 18951560 20846716 23063800 23689450 25370180 26058395 31712725 41693432 47378900 50740360 52116790 63425450 94757800 104233580 126850900 130291975 208467160 253701800 260583950 521167900 1042335800 54636873691 109273747382 218547494764 273184368455 437094989528 546368736910 601005610601 1092737473820 1202011221202 1365921842275 2185474947640 2404022442404 2731843684550 3005028053005 4808044884808 5463687369100 6010056106010 10927374738200 12020112212020 15025140265025 24040224424040 30050280530050 60100561060100 120201122120200