12134571600 has 120 divisors (see below), whose sum is σ = 38917424800. Its totient is φ = 3232028160.

The previous prime is 12134571571. The next prime is 12134571611. The reversal of 12134571600 is 617543121.

12134571600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1082826 + ... + 1093974.

Almost surely, 2^12134571600 is an apocalyptic number.

12134571600 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 12134571600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19458712400).

12134571600 is an abundant number, since it is smaller than the sum of its proper divisors (26782853200).

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

12134571600 is a wasteful number, since it uses less digits than its factorization.

12134571600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12077 (or 12066 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The spelling of 12134571600 in words is "twelve billion, one hundred thirty-four million, five hundred seventy-one thousand, six hundred".