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12130111024 = 241931241521
BaseRepresentation
bin10110100110000001…
…01100111000110000
31011022100221111010021
423103000230320300
5144320302023044
65323354213224
7606411146113
oct132300547060
934270844107
1012130111024
115165149a49
122426424214
1311b40bb9b5
1483100a57a
154aedc1e84
hex2d302ce30

12130111024 has 60 divisors (see below), whose sum is σ = 25563434520. Its totient is φ = 5560358400.

The previous prime is 12130111001. The next prime is 12130111057. The reversal of 12130111024 is 42011103121.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 12130110989 and 12130111007.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 271384 + ... + 312904.

It is an arithmetic number, because the mean of its divisors is an integer number (426057242).

Almost surely, 212130111024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12130111024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12781717260).

12130111024 is an abundant number, since it is smaller than the sum of its proper divisors (13433323496).

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

12130111024 is a wasteful number, since it uses less digits than its factorization.

12130111024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41610 (or 41573 counting only the distinct ones).

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

Adding to 12130111024 its reverse (42011103121), we get a palindrome (54141214145).

The spelling of 12130111024 in words is "twelve billion, one hundred thirty million, one hundred eleven thousand, twenty-four".

Divisors: 1 2 4 8 16 19 31 38 62 76 124 152 248 304 496 589 961 1178 1922 2356 3844 4712 7688 9424 15376 18259 36518 41521 73036 83042 146072 166084 292144 332168 664336 788899 1287151 1577798 2574302 3155596 5148604 6311192 10297208 12622384 20594416 24455869 39901681 48911738 79803362 97823476 159606724 195646952 319213448 391293904 638426896 758131939 1516263878 3032527756 6065055512 12130111024