12234345534000 has 480 divisors, whose sum is σ = 43233061210560. Its totient is φ = 3224240640000.

The previous prime is 12234345533989. The next prime is 12234345534011. The reversal of 12234345534000 is 43554343221.

12234345534000 is a `hidden beast` number, since 1 + 2 + 2 + 34 + 34 + 553 + 40 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12234345533989) and next prime (12234345534011).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1034436087 + ... + 1034447913.

It is an arithmetic number, because the mean of its divisors is an integer number (90068877522).

Almost surely, 2^{12234345534000} is an apocalyptic number.

12234345534000 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 12234345534000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21616530605280).

12234345534000 is an abundant number, since it is smaller than the sum of its proper divisors (30998715676560).

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

12234345534000 is a wasteful number, since it uses less digits than its factorization.

12234345534000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12526 (or 12507 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 12234345534000 its reverse (43554343221), we get a palindrome (12277899877221).

The spelling of 12234345534000 in words is "twelve trillion, two hundred thirty-four billion, three hundred forty-five million, five hundred thirty-four thousand".