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12502240240 = 24573673677
BaseRepresentation
bin10111010010011000…
…10000101111110000
31012021022011121102211
423221030100233300
5201101033141430
65424330221504
7621550201000
oct135114205760
935238147384
1012502240240
115336209156
12250ab84894
1312432224b9
148685d8000
154d28cc72a
hex2e9310bf0

12502240240 has 160 divisors (see below), whose sum is σ = 33998716800. Its totient is φ = 4273790976.

The previous prime is 12502240229. The next prime is 12502240253. The reversal of 12502240240 is 4204220521.

It is a super-2 number, since 2×125022402402 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18466782 + ... + 18467458.

It is an arithmetic number, because the mean of its divisors is an integer number (212491980).

Almost surely, 212502240240 is an apocalyptic number.

12502240240 is a gapful number since it is divisible by the number (10) 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 12502240240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16999358400).

12502240240 is an abundant number, since it is smaller than the sum of its proper divisors (21496476560).

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

12502240240 is an equidigital number, since it uses as much as digits as its factorization.

12502240240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1384 (or 1364 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

Adding to 12502240240 its reverse (4204220521), we get a palindrome (16706460761).

The spelling of 12502240240 in words is "twelve billion, five hundred two million, two hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 343 392 490 560 673 677 686 784 980 1346 1354 1372 1715 1960 2692 2708 2744 3365 3385 3430 3920 4711 4739 5384 5416 5488 6730 6770 6860 9422 9478 10768 10832 13460 13540 13720 18844 18956 23555 23695 26920 27080 27440 32977 33173 37688 37912 47110 47390 53840 54160 65954 66346 75376 75824 94220 94780 131908 132692 164885 165865 188440 189560 230839 232211 263816 265384 329770 331730 376880 379120 455621 461678 464422 527632 530768 659540 663460 911242 923356 928844 1154195 1161055 1319080 1326920 1822484 1846712 1857688 2278105 2308390 2322110 2638160 2653840 3189347 3644968 3693424 3715376 4556210 4616780 4644220 6378694 7289936 9112420 9233560 9288440 12757388 15946735 18224840 18467120 18576880 22325429 25514776 31893470 36449680 44650858 51029552 63786940 89301716 111627145 127573880 156278003 178603432 223254290 255147760 312556006 357206864 446508580 625112012 781390015 893017160 1250224024 1562780030 1786034320 2500448048 3125560060 6251120120 12502240240