120791287800 has 768 divisors, whose sum is σ = 460041984000. Its totient is φ = 29016299520.

The previous prime is 120791287741. The next prime is 120791287823. The reversal of 120791287800 is 8782197021.

120791287800 is a `hidden beast` number, since 1 + 207 + 91 + 287 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 178421062 + ... + 178421738.

It is an arithmetic number, because the mean of its divisors is an integer number (599013000).

Almost surely, 2^120791287800 is an apocalyptic number.

120791287800 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 120791287800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230020992000).

120791287800 is an abundant number, since it is smaller than the sum of its proper divisors (339250696200).

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

120791287800 is a wasteful number, since it uses less digits than its factorization.

120791287800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The spelling of 120791287800 in words is "one hundred twenty billion, seven hundred ninety-one million, two hundred eighty-seven thousand, eight hundred".