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12120323320 = 235761770157
BaseRepresentation
bin10110100100110110…
…10111010011111000
31011021200112012220201
423102123113103320
5144310300321240
65322404331544
7606232022410
oct132233272370
934250465821
1012120323320
11515a674336
1224230a3bb4
1311b2072961
1482d9bd640
154ae0dbd9a
hex2d26d74f8

12120323320 has 64 divisors (see below), whose sum is σ = 31217503680. Its totient is φ = 4148745216.

The previous prime is 12120323297. The next prime is 12120323333. The reversal of 12120323320 is 2332302121.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 137682 + ... + 207838.

It is an arithmetic number, because the mean of its divisors is an integer number (487773495).

Almost surely, 212120323320 is an apocalyptic number.

12120323320 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 12120323320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15608751840).

12120323320 is an abundant number, since it is smaller than the sum of its proper divisors (19097180360).

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

12120323320 is a wasteful number, since it uses less digits than its factorization.

12120323320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70792 (or 70788 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 12120323320 its reverse (2332302121), we get a palindrome (14452625441).

The spelling of 12120323320 in words is "twelve billion, one hundred twenty million, three hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 617 1234 2468 3085 4319 4936 6170 8638 12340 17276 21595 24680 34552 43190 70157 86380 140314 172760 280628 350785 491099 561256 701570 982198 1403140 1964396 2455495 2806280 3928792 4910990 9821980 19643960 43286869 86573738 173147476 216434345 303008083 346294952 432868690 606016166 865737380 1212032332 1515040415 1731474760 2424064664 3030080830 6060161660 12120323320