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120021202200200 = 2352731749580207
BaseRepresentation
bin11011010010100010011101…
…000111110110011010001000
3120201221220200221110101211112
4123102202131013312122020
5111212411410230401300
61103132551253345452
734165150164002000
oct3322423507663210
9521856627411745
10120021202200200
1135273784772014
1211564ab5938288
1351c7c48bb9372
14218d0b2c99000
15dd2060be3e35
hex6d289d1f6688

120021202200200 has 96 divisors (see below), whose sum is σ = 325421918688000. Its totient is φ = 41150126445120.

The previous prime is 120021202200181. The next prime is 120021202200217. The reversal of 120021202200200 is 2002202120021.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 874721504 + ... + 874858703.

It is an arithmetic number, because the mean of its divisors is an integer number (3389811653000).

Almost surely, 2120021202200200 is an apocalyptic number.

120021202200200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120021202200200 is an abundant number, since it is smaller than the sum of its proper divisors (205400716487800).

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

120021202200200 is a wasteful number, since it uses less digits than its factorization.

120021202200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1749580244 (or 1749580221 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 120021202200200 its reverse (2002202120021), we get a palindrome (122023404320221).

The spelling of 120021202200200 in words is "one hundred twenty trillion, twenty-one billion, two hundred two million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 343 350 392 490 686 700 980 1225 1372 1400 1715 1960 2450 2744 3430 4900 6860 8575 9800 13720 17150 34300 68600 1749580207 3499160414 6998320828 8747901035 12247061449 13996641656 17495802070 24494122898 34991604140 43739505175 48988245796 61235307245 69983208280 85729430143 87479010350 97976491592 122470614490 171458860286 174958020700 244941228980 306176536225 342917720572 349916041400 428647150715 489882457960 600106011001 612353072450 685835441144 857294301430 1200212022002 1224706144900 1714588602860 2143235753575 2400424044004 2449412289800 3000530055005 3429177205720 4286471507150 4800848088008 6001060110010 8572943014300 12002120220020 15002650275025 17145886028600 24004240440040 30005300550050 60010601100100 120021202200200