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120112000002 = 232157331312829
BaseRepresentation
bin110111111011100111…
…0111010110000000010
3102111000210220210121200
41233313032322300002
53431442133000002
6131102333002030
711451326104011
oct1576716726002
9374023823550
10120112000002
1146a37102405
121b341323316
13b43246cb67
145b5617ca78
1531cec2ab1c
hex1bf73bac02

120112000002 has 48 divisors (see below), whose sum is σ = 261999736440. Its totient is φ = 39767210496.

The previous prime is 120111999983. The next prime is 120112000031. The reversal of 120112000002 is 200000211021.

It can be written as a sum of positive squares in 4 ways, for example, as 119051911521 + 1060088481 = 345039^2 + 32559^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 9356124 + ... + 9368952.

Almost surely, 2120112000002 is an apocalyptic number.

120112000002 is an abundant number, since it is smaller than the sum of its proper divisors (141887736438).

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

120112000002 is a wasteful number, since it uses less digits than its factorization.

120112000002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16307 (or 16304 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 120112000002 its reverse (200000211021), we get a palindrome (320112211023).

The spelling of 120112000002 in words is "one hundred twenty billion, one hundred twelve million, two", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 157 314 471 942 1413 2826 3313 6626 9939 12829 19878 25658 29817 38487 59634 76974 115461 230922 520141 1040282 1560423 2014153 3120846 4028306 4681269 6042459 9362538 12084918 18127377 36254754 42502477 85004954 127507431 255014862 382522293 765044586 6672888889 13345777778 20018666667 40037333334 60056000001 120112000002