120825039200 has 144 divisors (see below), whose sum is σ = 304253651520. Its totient is φ = 46819307520.

The previous prime is 120825039197. The next prime is 120825039211. The reversal of 120825039200 is 2930528021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6888041 + ... + 6905559.

It is an arithmetic number, because the mean of its divisors is an integer number (2112872580).

Almost surely, 2^120825039200 is an apocalyptic number.

120825039200 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 120825039200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152126825760).

120825039200 is an abundant number, since it is smaller than the sum of its proper divisors (183428612320).

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

120825039200 is a wasteful number, since it uses less digits than its factorization.

120825039200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17809 (or 17796 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The spelling of 120825039200 in words is "one hundred twenty billion, eight hundred twenty-five million, thirty-nine thousand, two hundred".