120284601600 has 432 divisors, whose sum is σ = 421821751680. Its totient is φ = 30081024000.

The previous prime is 120284601589. The next prime is 120284601673. The reversal of 120284601600 is 6106482021.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130885941 + ... + 130886859.

It is an arithmetic number, because the mean of its divisors is an integer number (976439240).

Almost surely, 2^120284601600 is an apocalyptic number.

120284601600 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 120284601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210910875840).

120284601600 is an abundant number, since it is smaller than the sum of its proper divisors (301537150080).

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

120284601600 is a wasteful number, since it uses less digits than its factorization.

120284601600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1366 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 120284601600 in words is "one hundred twenty billion, two hundred eighty-four million, six hundred one thousand, six hundred".