120430371600 has 720 divisors, whose sum is σ = 522715115520. Its totient is φ = 24944716800.

The previous prime is 120430371577. The next prime is 120430371679. The reversal of 120430371600 is 6173034021.

120430371600 is a `hidden beast` number, since 1 + 20 + 4 + 3 + 0 + 37 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 132778347 + ... + 132779253.

It is an arithmetic number, because the mean of its divisors is an integer number (725993216).

Almost surely, 2^120430371600 is an apocalyptic number.

120430371600 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 120430371600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261357557760).

120430371600 is an abundant number, since it is smaller than the sum of its proper divisors (402284743920).

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

120430371600 is a wasteful number, since it uses less digits than its factorization.

120430371600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1428 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 120430371600 in words is "one hundred twenty billion, four hundred thirty million, three hundred seventy-one thousand, six hundred".