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12000230144 = 28724092339
BaseRepresentation
bin10110010110100010…
…01111101100000000
31010222022112212001022
423023101033230000
5144034024331034
65302434325012
7603243162500
oct131321175400
933868485038
1012000230144
1150a88a9581
1223aaa29768
1311932154c6
1481ba7ba00
154a37b8b2e
hex2cb44fb00

12000230144 has 108 divisors (see below), whose sum is σ = 27944443800. Its totient is φ = 5128187904.

The previous prime is 12000230111. The next prime is 12000230213. The reversal of 12000230144 is 44103200021.

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, 5129327 + ... + 5131665.

It is an arithmetic number, because the mean of its divisors is an integer number (258744850).

Almost surely, 212000230144 is an apocalyptic number.

12000230144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12000230144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13972221900).

12000230144 is an abundant number, since it is smaller than the sum of its proper divisors (15944213656).

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

12000230144 is an equidigital number, since it uses as much as digits as its factorization.

12000230144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2778 (or 2757 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 12000230144 its reverse (44103200021), we get a palindrome (56103430165).

The spelling of 12000230144 in words is "twelve billion, two hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 409 448 784 818 896 1568 1636 1792 2339 2863 3136 3272 4678 5726 6272 6544 9356 11452 12544 13088 16373 18712 20041 22904 26176 32746 37424 40082 45808 52352 65492 74848 80164 91616 104704 114611 130984 149696 160328 183232 229222 261968 299392 320656 366464 458444 523936 598784 641312 732928 916888 956651 1047872 1282624 1833776 1913302 2095744 2565248 3667552 3826604 4191488 5130496 6696557 7335104 7653208 13393114 14670208 15306416 26786228 29340416 30612832 46875899 53572456 61225664 93751798 107144912 122451328 187503596 214289824 244902656 375007192 428579648 750014384 857159296 1500028768 1714318592 3000057536 6000115072 12000230144