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120100220212 = 227173146317579
BaseRepresentation
bin110111111011010000…
…1111110110100110100
3102110222222202022210011
41233312201332310310
53431431124021322
6131101232310004
711451124012420
oct1576641766464
9373888668704
10120100220212
1146a30497045
121b3393a2304
13b42cba717b
145b54793b80
1531cdba0677
hex1bf687ed34

120100220212 has 96 divisors (see below), whose sum is σ = 263116062720. Its totient is φ = 46777167360.

The previous prime is 120100220159. The next prime is 120100220249. The reversal of 120100220212 is 212022001021.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 120100220192 and 120100220201.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 6823239 + ... + 6840817.

It is an arithmetic number, because the mean of its divisors is an integer number (2740792320).

Almost surely, 2120100220212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120100220212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131558031360).

120100220212 is an abundant number, since it is smaller than the sum of its proper divisors (143015842508).

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

120100220212 is a wasteful number, since it uses less digits than its factorization.

120100220212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18101 (or 18099 counting only the distinct ones).

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

Adding to 120100220212 its reverse (212022001021), we get a palindrome (332122221233).

The spelling of 120100220212 in words is "one hundred twenty billion, one hundred million, two hundred twenty thousand, two hundred twelve".

Divisors: 1 2 4 7 14 17 28 31 34 62 68 119 124 217 238 434 463 476 527 868 926 1054 1852 2108 3241 3689 6482 7378 7871 12964 14353 14756 15742 17579 28706 31484 35158 55097 57412 70316 100471 110194 123053 200942 220388 244001 246106 298843 401884 488002 492212 544949 597686 976004 1089898 1195372 1708007 2091901 2179796 3416014 3814643 4183802 6832028 7629286 8139077 8367604 9264133 15258572 16278154 18528266 32556308 37056532 56973539 64848931 113947078 129697862 138364309 227894156 252311387 259395724 276728618 504622774 553457236 968550163 1009245548 1766179709 1937100326 3532359418 3874200652 4289293579 7064718836 8578587158 17157174316 30025055053 60050110106 120100220212