Search a number
-
+
12530120112 = 243297897059
BaseRepresentation
bin10111010101101101…
…00111010110110000
31012100020122001102200
423222312213112300
5201130202320422
65431203543200
7622336156266
oct135266472660
935306561380
1012530120112
11534aa20774
12251838ab00
131248c34473
1486c1b4436
154d50882ac
hex2eada75b0

12530120112 has 60 divisors (see below), whose sum is σ = 35428487640. Its totient is φ = 4133643264.

The previous prime is 12530120081. The next prime is 12530120117. The reversal of 12530120112 is 21102103521.

12530120112 is a `hidden beast` number, since 1 + 2 + 530 + 1 + 20 + 112 = 666.

It is a super-2 number, since 2×125301201122 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (12530120117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 434562 + ... + 462497.

It is an arithmetic number, because the mean of its divisors is an integer number (590474794).

Almost surely, 212530120112 is an apocalyptic number.

12530120112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12530120112 is an abundant number, since it is smaller than the sum of its proper divisors (22898367528).

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

12530120112 is a wasteful number, since it uses less digits than its factorization.

12530120112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897170 (or 897161 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 12530120112 its reverse (21102103521), we get a palindrome (33632223633).

The spelling of 12530120112 in words is "twelve billion, five hundred thirty million, one hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 97 144 194 291 388 582 776 873 1164 1552 1746 2328 3492 4656 6984 13968 897059 1794118 2691177 3588236 5382354 7176472 8073531 10764708 14352944 16147062 21529416 32294124 43058832 64588248 87014723 129176496 174029446 261044169 348058892 522088338 696117784 783132507 1044176676 1392235568 1566265014 2088353352 3132530028 4176706704 6265060056 12530120112