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12330032112 = 243328541741
BaseRepresentation
bin10110111101110110…
…10101101111110000
31011211022010112022000
423132323111233300
5200222442011422
65355255214000
7614356354326
oct133673255760
934738115260
1012330032112
115257a88692
122481377300
1312166490b8
1484d7abd16
154c2712cac
hex2deed5bf0

12330032112 has 40 divisors (see below), whose sum is σ = 35391760080. Its totient is φ = 4110010560.

The previous prime is 12330032111. The next prime is 12330032137. The reversal of 12330032112 is 21123003321.

12330032112 is a `hidden beast` number, since 1 + 2 + 330 + 0 + 321 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12330032111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14270439 + ... + 14271302.

It is an arithmetic number, because the mean of its divisors is an integer number (884794002).

Almost surely, 212330032112 is an apocalyptic number.

12330032112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12330032112 is an abundant number, since it is smaller than the sum of its proper divisors (23061727968).

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

12330032112 is a wasteful number, since it uses less digits than its factorization.

12330032112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28541758 (or 28541746 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12330032112 its reverse (21123003321), we get a palindrome (33453035433).

The spelling of 12330032112 in words is "twelve billion, three hundred thirty million, thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 28541741 57083482 85625223 114166964 171250446 228333928 256875669 342500892 456667856 513751338 685001784 770627007 1027502676 1370003568 1541254014 2055005352 3082508028 4110010704 6165016056 12330032112