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120221345412 = 223271792665189
BaseRepresentation
bin110111111110111000…
…0000010011010000100
3102111022102200010022200
41233331300002122010
53432203131023122
6131121240354500
711454124401210
oct1577560023204
9374272603280
10120221345412
1146a928a7213
121b371a75a30
13b44c00629c
145b668c3940
1531d96295ac
hex1bfdc02684

120221345412 has 72 divisors (see below), whose sum is σ = 349246497600. Its totient is φ = 34157049408.

The previous prime is 120221345371. The next prime is 120221345423. The reversal of 120221345412 is 214543122021.

120221345412 is a `hidden beast` number, since 1 + 20 + 221 + 3 + 4 + 5 + 412 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1287487 + ... + 1377702.

It is an arithmetic number, because the mean of its divisors is an integer number (4850645800).

Almost surely, 2120221345412 is an apocalyptic number.

120221345412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120221345412 is an abundant number, since it is smaller than the sum of its proper divisors (229025152188).

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

120221345412 is a wasteful number, since it uses less digits than its factorization.

120221345412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2665385 (or 2665380 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 120221345412 its reverse (214543122021), we get a palindrome (334764467433).

The spelling of 120221345412 in words is "one hundred twenty billion, two hundred twenty-one million, three hundred forty-five thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 179 252 358 537 716 1074 1253 1611 2148 2506 3222 3759 5012 6444 7518 11277 15036 22554 45108 2665189 5330378 7995567 10660756 15991134 18656323 23986701 31982268 37312646 47973402 55968969 74625292 95946804 111937938 167906907 223875876 335813814 477068831 671627628 954137662 1431206493 1908275324 2862412986 3339481817 4293619479 5724825972 6678963634 8587238958 10018445451 13357927268 17174477916 20036890902 30055336353 40073781804 60110672706 120221345412