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12111000000 = 2635611367
BaseRepresentation
bin10110100011101111…
…10011000111000000
31011021000222112201120
423101313303013000
5144300404000000
65321432432240
7606056541621
oct132167630700
934230875646
1012111000000
115155386610
12241bb48680
1311b015a0b8
1482c673a48
154ad3996a0
hex2d1df31c0

12111000000 has 392 divisors, whose sum is σ = 43814439168. Its totient is φ = 2928000000.

The previous prime is 12110999993. The next prime is 12111000001. The reversal of 12111000000 is 11121.

12111000000 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 (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 not an unprimeable number, because it can be changed into a prime (12111000001) 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 55 ways as a sum of consecutive naturals, for example, 32999817 + ... + 33000183.

Almost surely, 212111000000 is an apocalyptic number.

12111000000 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 12111000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21907219584).

12111000000 is an abundant number, since it is smaller than the sum of its proper divisors (31703439168).

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

12111000000 is an frugal number, since it uses more digits than its factorization.

12111000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 388 counting only the distinct ones).

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

Adding to 12111000000 its reverse (11121), we get a palindrome (12111011121).

It can be divided in two parts, 121 and 11000000, that multiplied together give a cube (1331000000 = 11003).

The spelling of 12111000000 in words is "twelve billion, one hundred eleven million", and thus it is an aban number.