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12432130320 = 2435244721169
BaseRepresentation
bin10111001010000001…
…10100000100010000
31012002102020122201010
423211000310010100
5200430111132240
65413343410520
7620036235621
oct134500640420
935072218633
1012432130320
1152aa682575
1224ab5b3a40
13123184593c
1485d187a48
154cb67e280
hex2e5034110

12432130320 has 80 divisors (see below), whose sum is σ = 38557175040. Its totient is φ = 3313723392.

The previous prime is 12432130309. The next prime is 12432130327. The reversal of 12432130320 is 2303123421.

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

It is not an unprimeable number, because it can be changed into a prime (12432130327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 576696 + ... + 597864.

It is an arithmetic number, because the mean of its divisors is an integer number (481964688).

Almost surely, 212432130320 is an apocalyptic number.

12432130320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12432130320 is an abundant number, since it is smaller than the sum of its proper divisors (26125044720).

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

12432130320 is a wasteful number, since it uses less digits than its factorization.

12432130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23632 (or 23626 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 12432130320 its reverse (2303123421), we get a palindrome (14735253741).

The spelling of 12432130320 in words is "twelve billion, four hundred thirty-two million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 2447 4894 7341 9788 12235 14682 19576 21169 24470 29364 36705 39152 42338 48940 58728 63507 73410 84676 97880 105845 117456 127014 146820 169352 195760 211690 254028 293640 317535 338704 423380 508056 587280 635070 846760 1016112 1270140 1693520 2540280 5080560 51800543 103601086 155401629 207202172 259002715 310803258 414404344 518005430 621606516 777008145 828808688 1036010860 1243213032 1554016290 2072021720 2486426064 3108032580 4144043440 6216065160 12432130320