12110544000 has 384 divisors, whose sum is σ = 44687101680. Its totient is φ = 3140812800.

The previous prime is 12110543987. The next prime is 12110544029. The reversal of 12110544000 is 44501121.

12110544000 is a `hidden beast` number, since 1 + 211 + 0 + 54 + 400 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4220841024 + 7889702976 = 64968^2 + 88824^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5326864 + ... + 5329136.

Almost surely, 2^12110544000 is an apocalyptic number.

12110544000 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 12110544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22343550840).

12110544000 is an abundant number, since it is smaller than the sum of its proper divisors (32576557680).

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

12110544000 is a wasteful number, since it uses less digits than its factorization.

12110544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2345 (or 2320 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The spelling of 12110544000 in words is "twelve billion, one hundred ten million, five hundred forty-four thousand".