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120132120012 = 22367679147919
BaseRepresentation
bin110111111100001101…
…1101010110111001100
3102111002012210000002020
41233320123222313030
53432012310320022
6131104332130140
711451662112642
oct1577033526714
9374065700066
10120132120012
1146a474a4913
121b348006950
13b436695aa8
145b58ad9192
1531d18a235c
hex1bf86eadcc

120132120012 has 24 divisors (see below), whose sum is σ = 280314316800. Its totient is φ = 40043177616.

The previous prime is 120132120001. The next prime is 120132120029. The reversal of 120132120012 is 210021231021.

It is a junction number, because it is equal to n+sod(n) for n = 120132119973 and 120132120000.

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 7 ways as a sum of consecutive naturals, for example, 738189 + ... + 886107.

It is an arithmetic number, because the mean of its divisors is an integer number (11679763200).

Almost surely, 2120132120012 is an apocalyptic number.

120132120012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120132120012 is an abundant number, since it is smaller than the sum of its proper divisors (160182196788).

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

120132120012 is a wasteful number, since it uses less digits than its factorization.

120132120012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215605 (or 215603 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 120132120012 its reverse (210021231021), we get a palindrome (330153351033).

The spelling of 120132120012 in words is "one hundred twenty billion, one hundred thirty-two million, one hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 12 67679 135358 147919 203037 270716 295838 406074 443757 591676 812148 887514 1775028 10011010001 20022020002 30033030003 40044040004 60066060006 120132120012