Search a number
-
+
12168981252 = 2232437861099
BaseRepresentation
bin10110101010101001…
…11110101100000100
31011102002002022001100
423111110332230010
5144410224400002
65331303300100
7610362430311
oct132524765404
934362068040
1012168981252
1151850887aa
12243744a630
1311bc17b22c
14836247d08
154b34ee11c
hex2d553eb04

12168981252 has 36 divisors (see below), whose sum is σ = 31475844400. Its totient is φ = 3961993392.

The previous prime is 12168981241. The next prime is 12168981257. The reversal of 12168981252 is 25218986121.

12168981252 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 12168981198 and 12168981207.

It is not an unprimeable number, because it can be changed into a prime (12168981257) 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 11 ways as a sum of consecutive naturals, for example, 3929002 + ... + 3932097.

Almost surely, 212168981252 is an apocalyptic number.

12168981252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12168981252 is an abundant number, since it is smaller than the sum of its proper divisors (19306863148).

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

12168981252 is a wasteful number, since it uses less digits than its factorization.

12168981252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7861152 (or 7861147 counting only the distinct ones).

The product of its digits is 138240, while the sum is 45.

The spelling of 12168981252 in words is "twelve billion, one hundred sixty-eight million, nine hundred eighty-one thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 516 774 1548 7861099 15722198 23583297 31444396 47166594 70749891 94333188 141499782 282999564 338027257 676054514 1014081771 1352109028 2028163542 3042245313 4056327084 6084490626 12168981252