8121738240000 has 3360 divisors, whose sum is σ = 38508202180800. Its totient is φ = 1672151040000.

The previous prime is 8121738239957. The next prime is 8121738240037. The reversal of 8121738240000 is 428371218.

8121738240000 is a `hidden beast` number, since 8 + 1 + 2 + 173 + 82 + 400 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

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 239 ways as a sum of consecutive naturals, for example, 74511359946 + ... + 74511360054.

Almost surely, 2^{8121738240000} is an apocalyptic number.

8121738240000 is a gapful number since it is divisible by the number (80) 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 8121738240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19254101090400).

8121738240000 is an abundant number, since it is smaller than the sum of its proper divisors (30386463940800).

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

8121738240000 is a wasteful number, since it uses less digits than its factorization.

8121738240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 8121738240000 in words is "eight trillion, one hundred twenty-one billion, seven hundred thirty-eight million, two hundred forty thousand".