120806204640 has 384 divisors, whose sum is σ = 439315881984. Its totient is φ = 27616512000.

The previous prime is 120806204573. The next prime is 120806204647. The reversal of 120806204640 is 46402608021.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120806204647) 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, 8615235 + ... + 8629245.

It is an arithmetic number, because the mean of its divisors is an integer number (1144051776).

Almost surely, 2^120806204640 is an apocalyptic number.

120806204640 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 120806204640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219657940992).

120806204640 is an abundant number, since it is smaller than the sum of its proper divisors (318509677344).

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

120806204640 is a wasteful number, since it uses less digits than its factorization.

120806204640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14134 (or 14126 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The spelling of 120806204640 in words is "one hundred twenty billion, eight hundred six million, two hundred four thousand, six hundred forty".