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120101212001200 = 24523161703156971
BaseRepresentation
bin11011010011101100111110…
…000101000001001110110000
3120202020120012222000102021111
4123103230332011001032300
5111220214240233014300
61103233422441203104
734204011665043643
oct3323547605011660
9522216188012244
10120101212001200
11352a47021627a1
1211578504a90494
13520265a073291
142192d03065a5a
15dd4194e9b9ba
hex6d3b3e1413b0

120101212001200 has 120 divisors (see below), whose sum is σ = 297857730456576. Its totient is φ = 46489742112000.

The previous prime is 120101212001189. The next prime is 120101212001207. The reversal of 120101212001200 is 2100212101021.

It is a super-2 number, since 2×1201012120012002 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (120101212001207) by changing a digit.

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, 765038715 + ... + 765195685.

Almost surely, 2120101212001200 is an apocalyptic number.

120101212001200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120101212001200 is an abundant number, since it is smaller than the sum of its proper divisors (177756518455376).

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

120101212001200 is a wasteful number, since it uses less digits than its factorization.

120101212001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218723 (or 218712 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 120101212001200 its reverse (2100212101021), we get a palindrome (122201424102221).

The spelling of 120101212001200 in words is "one hundred twenty trillion, one hundred one billion, two hundred twelve million, one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 155 200 248 310 400 496 620 775 1240 1550 2480 3100 6200 12400 61703 123406 156971 246812 308515 313942 493624 617030 627884 784855 987248 1234060 1255768 1542575 1569710 1912793 2468120 2511536 3085150 3139420 3825586 3924275 4866101 4936240 6170300 6278840 7651172 7848550 9563965 9732202 12340600 12557680 15302344 15697100 19127930 19464404 24330505 24681200 30604688 31394200 38255860 38928808 47819825 48661010 62788400 76511720 77857616 95639650 97322020 121652525 153023440 191279300 194644040 243305050 382558600 389288080 486610100 765117200 973220200 1946440400 9685581613 19371163226 38742326452 48427908065 77484652904 96855816130 154969305808 193711632260 242139540325 300253030003 387423264520 484279080650 600506060006 774846529040 968558161300 1201012120012 1501265150015 1937116322600 2402024240024 3002530300030 3874232645200 4804048480048 6005060600060 7506325750075 12010121200120 15012651500150 24020242400240 30025303000300 60050606000600 120101212001200