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120020112 = 24321943867
BaseRepresentation
bin1110010011101…
…01110010010000
322100211122122100
413021311302100
5221211120422
615524240400
72655103602
oct711656220
9270748570
10120020112
1161825983
1234240100
131bb33124
1411d23172
15a80b7ac
hex7275c90

120020112 has 60 divisors (see below), whose sum is σ = 353576080. Its totient is φ = 37900224.

The previous prime is 120020111. The next prime is 120020113. The reversal of 120020112 is 211020021.

It is an interprime number because it is at equal distance from previous prime (120020111) and next prime (120020113).

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

It is a junction number, because it is equal to n+sod(n) for n = 120020094 and 120020103.

It is not an unprimeable number, because it can be changed into a prime (120020111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19198 + ... + 24669.

Almost surely, 2120020112 is an apocalyptic number.

120020112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120020112 is an abundant number, since it is smaller than the sum of its proper divisors (233555968).

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

120020112 is a wasteful number, since it uses less digits than its factorization.

120020112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43900 (or 43891 counting only the distinct ones).

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

The square root of 120020112 is about 10955.3690946494. The cubic root of 120020112 is about 493.2699691364.

Adding to 120020112 its reverse (211020021), we get a palindrome (331040133).

Subtracting 120020112 from its reverse (211020021), we obtain a palindrome (90999909).

It can be divided in two parts, 1200 and 20112, that added together give a palindrome (21312).

The spelling of 120020112 in words is "one hundred twenty million, twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 2736 43867 87734 131601 175468 263202 350936 394803 526404 701872 789606 833473 1052808 1579212 1666946 2105616 2500419 3158424 3333892 5000838 6316848 6667784 7501257 10001676 13335568 15002514 20003352 30005028 40006704 60010056 120020112