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12110112000 = 28325376007
BaseRepresentation
bin10110100011101000…
…11010010100000000
31011020222022102121200
423101310122110000
5144300142041000
65321401421200
7606046152660
oct132164322400
934228272550
1012110112000
11515492a428
12241b79a800
1311acc08b5c
1482c4c21a0
154ad271500
hex2d1d1a500

12110112000 has 432 divisors, whose sum is σ = 49809107712. Its totient is φ = 2767564800.

The previous prime is 12110111977. The next prime is 12110112011. The reversal of 12110112000 is 21101121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2012997 + ... + 2019003.

Almost surely, 212110112000 is an apocalyptic number.

12110112000 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 12110112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24904553856).

12110112000 is an abundant number, since it is smaller than the sum of its proper divisors (37698995712).

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

12110112000 is an equidigital number, since it uses as much as digits as its factorization.

12110112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6051 (or 6024 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12110112000 its reverse (21101121), we get a palindrome (12131213121).

The spelling of 12110112000 in words is "twelve billion, one hundred ten million, one hundred twelve thousand".