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12041115520 = 27572992681
BaseRepresentation
bin10110011011011010…
…01101011110000000
31011002011111001020111
423031231031132000
5144130011144040
65310454521104
7604250536030
oct131555153600
934064431214
1012041115520
115119994345
122400666194
13119b82c035
148232818c0
154a7192dea
hex2cdb4d780

12041115520 has 128 divisors (see below), whose sum is σ = 34032830400. Its totient is φ = 3985981440.

The previous prime is 12041115479. The next prime is 12041115539. The reversal of 12041115520 is 2551114021.

12041115520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 12041115491 and 12041115500.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83580 + ... + 176260.

Almost surely, 212041115520 is an apocalyptic number.

12041115520 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 12041115520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17016415200).

12041115520 is an abundant number, since it is smaller than the sum of its proper divisors (21991714880).

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

12041115520 is an equidigital number, since it uses as much as digits as its factorization.

12041115520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92736 (or 92724 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 22.

Adding to 12041115520 its reverse (2551114021), we get a palindrome (14592229541).

The spelling of 12041115520 in words is "twelve billion, forty-one million, one hundred fifteen thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 32 35 40 56 58 64 70 80 112 116 128 140 145 160 203 224 232 280 290 320 406 448 464 560 580 640 812 896 928 1015 1120 1160 1624 1856 2030 2240 2320 3248 3712 4060 4480 4640 6496 8120 9280 12992 16240 18560 25984 32480 64960 92681 129920 185362 370724 463405 648767 741448 926810 1297534 1482896 1853620 2595068 2687749 2965792 3243835 3707240 5190136 5375498 5931584 6487670 7414480 10380272 10750996 11863168 12975340 13438745 14828960 18814243 20760544 21501992 25950680 26877490 29657920 37628486 41521088 43003984 51901360 53754980 59315840 75256972 83042176 86007968 94071215 103802720 107509960 150513944 172015936 188142430 207605440 215019920 301027888 344031872 376284860 415210880 430039840 602055776 752569720 860079680 1204111552 1505139440 1720159360 2408223104 3010278880 6020557760 12041115520