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12116793280 = 265193119609
BaseRepresentation
bin10110100100011011…
…11001011111000000
31011021102212212121111
423102031321133000
5144303344341110
65322200533104
7606160020634
oct132215713700
934242785544
1012116793280
115158683149
122421a81194
1311b1407c87
1482d340dc4
154adb40e8a
hex2d23797c0

12116793280 has 56 divisors (see below), whose sum is σ = 28869528240. Its totient is φ = 4843960320.

The previous prime is 12116793257. The next prime is 12116793281. The reversal of 12116793280 is 8239761121.

12116793280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12116793281) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 608116 + ... + 627724.

It is an arithmetic number, because the mean of its divisors is an integer number (515527290).

Almost surely, 212116793280 is an apocalyptic number.

12116793280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12116793280 is an abundant number, since it is smaller than the sum of its proper divisors (16752734960).

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

12116793280 is a wasteful number, since it uses less digits than its factorization.

12116793280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21557 (or 21547 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 40.

The spelling of 12116793280 in words is "twelve billion, one hundred sixteen million, seven hundred ninety-three thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 1931 3862 7724 9655 15448 19310 19609 30896 38620 39218 61792 77240 78436 98045 123584 154480 156872 196090 308960 313744 392180 617920 627488 784360 1254976 1568720 3137440 6274880 37864979 75729958 151459916 189324895 302919832 378649790 605839664 757299580 1211679328 1514599160 2423358656 3029198320 6058396640 12116793280