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120212010220112 = 24293492069358793
BaseRepresentation
bin11011010101010100001010…
…001010101011101001010000
3120202122011012200102010010222
4123111110022022223221100
5111224023144104020422
61103400345103412212
734215013451262146
oct3325241212535120
9522564180363128
10120212010220112
1135337699937558
1211595a86bb4068
13520cc36a4b465
14219841426d596
15dd6ecc1b8842
hex6d550a2aba50

120212010220112 has 80 divisors (see below), whose sum is σ = 241750015290000. Its totient is φ = 57838969638912.

The previous prime is 120212010220091. The next prime is 120212010220129. The reversal of 120212010220112 is 211022010212021.

It can be written as a sum of positive squares in 8 ways, for example, as 3512040913936 + 116699969306176 = 1874044^2 + 10802776^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 334866188 + ... + 335224980.

It is an arithmetic number, because the mean of its divisors is an integer number (3021875191125).

Almost surely, 2120212010220112 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 120212010220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120875007645000).

120212010220112 is an abundant number, since it is smaller than the sum of its proper divisors (121538005069888).

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

120212010220112 is a wasteful number, since it uses less digits than its factorization.

120212010220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361248 (or 361242 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 120212010220112 its reverse (211022010212021), we get a palindrome (331234020432133).

The spelling of 120212010220112 in words is "one hundred twenty trillion, two hundred twelve billion, ten million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 4 8 16 29 58 116 232 349 464 698 1396 2069 2792 4138 5584 8276 10121 16552 20242 33104 40484 60001 80968 120002 161936 240004 358793 480008 717586 722081 960016 1435172 1444162 2870344 2888324 5740688 5776648 10404997 11553296 20809994 20940349 41619988 41880698 83239976 83761396 125218757 166479952 167522792 250437514 335045584 500875028 742342717 1001750056 1484685434 2003500112 2969370868 3631343953 5938741736 7262687906 11877483472 14525375812 21527938793 29050751624 43055877586 58101503248 86111755172 172223510344 259077608233 344447020688 518155216466 1036310432932 2072620865864 4145241731728 7513250638757 15026501277514 30053002555028 60106005110056 120212010220112