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12115711060000 = 25542924186677
BaseRepresentation
bin1011000001001110100010…
…1001110110100000100000
31120220020202201211222200021
42300103220221312200200
53042000434012410000
641433514131403224
72360221420544452
oct260235051664040
946806681758607
1012115711060000
113951276045909
121438133153514
1369b67815a922
142dc59147a2d2
151602565c911a
hexb04e8a76820

12115711060000 has 240 divisors, whose sum is σ = 30962576022840. Its totient is φ = 4659701760000.

The previous prime is 12115711059901. The next prime is 12115711060031. The reversal of 12115711060000 is 6011751121.

It can be written as a sum of positive squares in 20 ways, for example, as 2431191955984 + 9684519104016 = 1559228^2 + 3111996^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 139736662 + ... + 139823338.

Almost surely, 212115711060000 is an apocalyptic number.

12115711060000 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 12115711060000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15481288011420).

12115711060000 is an abundant number, since it is smaller than the sum of its proper divisors (18846864962840).

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

12115711060000 is an equidigital number, since it uses as much as digits as its factorization.

12115711060000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86977 (or 86954 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 25.

The spelling of 12115711060000 in words is "twelve trillion, one hundred fifteen billion, seven hundred eleven million, sixty thousand".