Search a number
-
+
12232331120 = 245379439919
BaseRepresentation
bin10110110010001101…
…01000111101110000
31011120111021210201202
423121012220331300
5200022434043440
65341445150332
7612062045642
oct133106507560
934514253652
1012232331120
115207917469
1224546bb3a8
1311cc32bb69
14840818892
154b8d64615
hex2d91a8f70

12232331120 has 80 divisors (see below), whose sum is σ = 28611264000. Its totient is φ = 4863608064.

The previous prime is 12232331117. The next prime is 12232331143. The reversal of 12232331120 is 2113323221.

12232331120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12232331092 and 12232331101.

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 15 ways as a sum of consecutive naturals, for example, 13310021 + ... + 13310939.

It is an arithmetic number, because the mean of its divisors is an integer number (357640800).

Almost surely, 212232331120 is an apocalyptic number.

12232331120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12232331120 is an abundant number, since it is smaller than the sum of its proper divisors (16378932880).

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

12232331120 is a wasteful number, since it uses less digits than its factorization.

12232331120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1750 (or 1744 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 12232331120 its reverse (2113323221), we get a palindrome (14345654341).

The spelling of 12232331120 in words is "twelve billion, two hundred thirty-two million, three hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 379 439 758 878 919 1516 1756 1838 1895 2195 3032 3512 3676 3790 4390 4595 6064 7024 7352 7580 8780 9190 14704 15160 17560 18380 30320 35120 36760 73520 166381 332762 348301 403441 665524 696602 806882 831905 1331048 1393204 1613764 1663810 1741505 2017205 2662096 2786408 3227528 3327620 3483010 4034410 5572816 6455056 6655240 6966020 8068820 13310480 13932040 16137640 27864080 32275280 152904139 305808278 611616556 764520695 1223233112 1529041390 2446466224 3058082780 6116165560 12232331120