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12130413540 = 2235724125991
BaseRepresentation
bin10110100110000011…
…10110101111100100
31011022101111212002120
423103001312233210
5144320341213130
65323404505540
7606413546100
oct132301665744
934271455076
1012130413540
115165336263
12242654b2b0
1311b41965bb
14831088900
154aee31910
hex2d3076be4

12130413540 has 72 divisors (see below), whose sum is σ = 39510499392. Its totient is φ = 2772665280.

The previous prime is 12130413527. The next prime is 12130413611. The reversal of 12130413540 is 4531403121.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 12130413540.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2060056 + ... + 2065935.

It is an arithmetic number, because the mean of its divisors is an integer number (548756936).

Almost surely, 212130413540 is an apocalyptic number.

12130413540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12130413540 is an abundant number, since it is smaller than the sum of its proper divisors (27380085852).

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

12130413540 is a wasteful number, since it uses less digits than its factorization.

12130413540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4126017 (or 4126008 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 12130413540 its reverse (4531403121), we get a palindrome (16661816661).

The spelling of 12130413540 in words is "twelve billion, one hundred thirty million, four hundred thirteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 2940 4125991 8251982 12377973 16503964 20629955 24755946 28881937 41259910 49511892 57763874 61889865 82519820 86645811 115527748 123779730 144409685 173291622 202173559 247559460 288819370 346583244 404347118 433229055 577638740 606520677 808694236 866458110 1010867795 1213041354 1732916220 2021735590 2426082708 3032603385 4043471180 6065206770 12130413540