Search a number
-
+
12120529644 = 223217101196087
BaseRepresentation
bin10110100100111000…
…01001101011101100
31011021200220200221100
423102130021223230
5144310323422034
65322413003100
7606233542056
oct132234115354
934250820840
1012120529644
11515a7a5353
122423183490
1311b2115842
1482da348d6
154ae12d099
hex2d2709aec

12120529644 has 72 divisors (see below), whose sum is σ = 32761598688. Its totient is φ = 3764851200.

The previous prime is 12120529643. The next prime is 12120529651. The reversal of 12120529644 is 44692502121.

It is a happy number.

12120529644 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 0 + 5 + 2 + 9 + 644 = 666.

12120529644 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12120529599 and 12120529608.

It is not an unprimeable number, because it can be changed into a prime (12120529643) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 36232 + ... + 159855.

It is an arithmetic number, because the mean of its divisors is an integer number (455022204).

Almost surely, 212120529644 is an apocalyptic number.

It is an amenable number.

12120529644 is an abundant number, since it is smaller than the sum of its proper divisors (20641069044).

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

12120529644 is a wasteful number, since it uses less digits than its factorization.

12120529644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196215 (or 196210 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 12120529644 in words is "twelve billion, one hundred twenty million, five hundred twenty-nine thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 101 102 153 202 204 303 306 404 606 612 909 1212 1717 1818 3434 3636 5151 6868 10302 15453 20604 30906 61812 196087 392174 588261 784348 1176522 1764783 2353044 3333479 3529566 6666958 7059132 10000437 13333916 19804787 20000874 30001311 39609574 40001748 59414361 60002622 79219148 118828722 120005244 178243083 237657444 336681379 356486166 673362758 712972332 1010044137 1346725516 2020088274 3030132411 4040176548 6060264822 12120529644