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12260040540 = 223511101183919
BaseRepresentation
bin10110110101100000…
…10101111101011100
31011122102102120220120
423122300111331130
5200102032244130
65344315114540
7612546424266
oct133260257534
934572376816
1012260040540
115221522a10
122461a42a50
131204cb1377
1484438cb36
154bb4d9910
hex2dac15f5c

12260040540 has 96 divisors (see below), whose sum is σ = 37819837440. Its totient is φ = 2942688000.

The previous prime is 12260040511. The next prime is 12260040547. The reversal of 12260040540 is 4504006221.

It is a self number, because there is not a number n which added to its sum of digits gives 12260040540.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12260040547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25300 + ... + 158619.

It is an arithmetic number, because the mean of its divisors is an integer number (393956640).

Almost surely, 212260040540 is an apocalyptic number.

12260040540 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 12260040540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18909918720).

12260040540 is an abundant number, since it is smaller than the sum of its proper divisors (25559796900).

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

12260040540 is a wasteful number, since it uses less digits than its factorization.

12260040540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184043 (or 184041 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 12260040540 its reverse (4504006221), we get a palindrome (16764046761).

The spelling of 12260040540 in words is "twelve billion, two hundred sixty million, forty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 101 110 132 165 202 220 303 330 404 505 606 660 1010 1111 1212 1515 2020 2222 3030 3333 4444 5555 6060 6666 11110 13332 16665 22220 33330 66660 183919 367838 551757 735676 919595 1103514 1839190 2023109 2207028 2758785 3678380 4046218 5517570 6069327 8092436 10115545 11035140 12138654 18575819 20231090 24277308 30346635 37151638 40462180 55727457 60693270 74303276 92879095 111454914 121386540 185758190 204334009 222909828 278637285 371516380 408668018 557274570 613002027 817336036 1021670045 1114549140 1226004054 2043340090 2452008108 3065010135 4086680180 6130020270 12260040540