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12132112120 = 235705742979
BaseRepresentation
bin10110100110010000…
…10101011011111000
31011022111201011002221
423103020111123320
5144321310041440
65323505133424
7606434152162
oct132310253370
934274634087
1012132112120
115166296447
12242702a274
1311b463c78b
148313ab932
154b0169d4a
hex2d32156f8

12132112120 has 32 divisors (see below), whose sum is σ = 27301755600. Its totient is φ = 4852044288.

The previous prime is 12132112117. The next prime is 12132112159. The reversal of 12132112120 is 2121123121.

12132112120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12132112094 and 12132112103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 260791 + ... + 303769.

Almost surely, 212132112120 is an apocalyptic number.

12132112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12132112120 is an abundant number, since it is smaller than the sum of its proper divisors (15169643480).

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

12132112120 is a wasteful number, since it uses less digits than its factorization.

12132112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50047 (or 50043 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 12132112120 its reverse (2121123121), we get a palindrome (14253235241).

The spelling of 12132112120 in words is "twelve billion, one hundred thirty-two million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 7057 14114 28228 35285 42979 56456 70570 85958 141140 171916 214895 282280 343832 429790 859580 1719160 303302803 606605606 1213211212 1516514015 2426422424 3033028030 6066056060 12132112120