8120942121600 has 2304 divisors, whose sum is σ = 38440489651200. Its totient is φ = 1581377126400.

The previous prime is 8120942121577. The next prime is 8120942121653. The reversal of 8120942121600 is 61212490218.

8120942121600 is a `hidden beast` number, since 8 + 1 + 2 + 0 + 9 + 4 + 21 + 21 + 600 = 666.

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 287 ways as a sum of consecutive naturals, for example, 4087035807 + ... + 4087037793.

It is an arithmetic number, because the mean of its divisors is an integer number (16684240300).

Almost surely, 2^{8120942121600} is an apocalyptic number.

8120942121600 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 8120942121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19220244825600).

8120942121600 is an abundant number, since it is smaller than the sum of its proper divisors (30319547529600).

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

8120942121600 is a wasteful number, since it uses less digits than its factorization.

8120942121600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2151 (or 2131 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 8120942121600 in words is "eight trillion, one hundred twenty billion, nine hundred forty-two million, one hundred twenty-one thousand, six hundred".