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12116810420 = 225111310141947
BaseRepresentation
bin10110100100011011…
…11101101010110100
31011021102220202010022
423102031331222310
5144303400413140
65322201144312
7606160121621
oct132215755264
934242822108
1012116810420
115158695010
122421a8b098
1311b1412a10
1482d347348
154adb460b5
hex2d237dab4

12116810420 has 96 divisors (see below), whose sum is σ = 30190478976. Its totient is φ = 4026816000.

The previous prime is 12116810347. The next prime is 12116810423. The reversal of 12116810420 is 2401861121.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 12116810420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12116810423) 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, 267887 + ... + 309833.

It is an arithmetic number, because the mean of its divisors is an integer number (314484156).

Almost surely, 212116810420 is an apocalyptic number.

12116810420 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 12116810420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15095239488).

12116810420 is an abundant number, since it is smaller than the sum of its proper divisors (18073668556).

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

12116810420 is a wasteful number, since it uses less digits than its factorization.

12116810420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42081 (or 42079 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 26.

The spelling of 12116810420 in words is "twelve billion, one hundred sixteen million, eight hundred ten thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 101 110 130 143 202 220 260 286 404 505 572 715 1010 1111 1313 1430 2020 2222 2626 2860 4444 5252 5555 6565 11110 13130 14443 22220 26260 28886 41947 57772 72215 83894 144430 167788 209735 288860 419470 461417 545311 838940 922834 1090622 1845668 2181244 2307085 2726555 4236647 4614170 5453110 5998421 8473294 9228340 10906220 11996842 16946588 21183235 23993684 29992105 42366470 46603117 55076411 59984210 84732940 93206234 110152822 119968420 186412468 220305644 233015585 275382055 466031170 550764110 605840521 932062340 1101528220 1211681042 2423362084 3029202605 6058405210 12116810420