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12988311336 = 233371121343127
BaseRepresentation
bin11000001100010100…
…11110011100101000
31020112011210120122000
430012022132130220
5203100001430321
65544452331000
7636601552620
oct140612363450
936464716560
1012988311336
115565621600
122625913a60
1312bcb3b630
148b2da5880
155103e3826
hex30629e728

12988311336 has 768 divisors, whose sum is σ = 50336563200. Its totient is φ = 3017710080.

The previous prime is 12988311313. The next prime is 12988311341. The reversal of 12988311336 is 63311388921.

It is a super-2 number, since 2×129883113362 (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12988311291 and 12988311300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 102270105 + ... + 102270231.

It is an arithmetic number, because the mean of its divisors is an integer number (65542400).

Almost surely, 212988311336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12988311336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25168281600).

12988311336 is an abundant number, since it is smaller than the sum of its proper divisors (37348251864).

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

12988311336 is a wasteful number, since it uses less digits than its factorization.

12988311336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 206 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The spelling of 12988311336 in words is "twelve billion, nine hundred eighty-eight million, three hundred eleven thousand, three hundred thirty-six".