12364134000 has 320 divisors, whose sum is σ = 43203663360. Its totient is φ = 3029913600.

The previous prime is 12364133993. The next prime is 12364134001. The reversal of 12364134000 is 43146321.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12364134001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4384591 + ... + 4387409.

It is an arithmetic number, because the mean of its divisors is an integer number (135011448).

Almost surely, 2^12364134000 is an apocalyptic number.

12364134000 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 12364134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21601831680).

12364134000 is an abundant number, since it is smaller than the sum of its proper divisors (30839529360).

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

12364134000 is a wasteful number, since it uses less digits than its factorization.

12364134000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2905 (or 2889 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

It can be divided in two parts, 123641 and 34000, that added together give a triangular number (157641 = T₅₆₁).

The spelling of 12364134000 in words is "twelve billion, three hundred sixty-four million, one hundred thirty-four thousand".