Search a number
-
+
12000111000000 = 263564000037
BaseRepresentation
bin1010111010011111111001…
…0110100111100111000000
31120111012101100221111011120
42232213332112213213000
53033102211404000000
641304435213112240
72345656636340454
oct256477626474700
946435340844146
1012000111000000
1139072448a9842
121419850a88680
136907b46b5166
142d6b46634664
1515c23ca496a0
hexae9fe5a79c0

12000111000000 has 196 divisors, whose sum is σ = 39687369026424. Its totient is φ = 3200028800000.

The previous prime is 12000110999999. The next prime is 12000111000037. The reversal of 12000111000000 is 11100021.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 999982 + ... + 5000018.

Almost surely, 212000111000000 is an apocalyptic number.

12000111000000 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 12000111000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19843684513212).

12000111000000 is an abundant number, since it is smaller than the sum of its proper divisors (27687258026424).

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

12000111000000 is an frugal number, since it uses more digits than its factorization.

12000111000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4000082 (or 4000047 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 12000111000000 its reverse (11100021), we get a palindrome (12000122100021).

The spelling of 12000111000000 in words is "twelve trillion, one hundred eleven million", and thus it is an aban number.