120975427200 has 384 divisors, whose sum is σ = 424219991040. Its totient is φ = 30195712000.

The previous prime is 120975427169. The next prime is 120975427201. The reversal of 120975427200 is 2724579021.

120975427200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (120975427201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31169260 + ... + 31173140.

It is an arithmetic number, because the mean of its divisors is an integer number (1104739560).

Almost surely, 2^120975427200 is an apocalyptic number.

120975427200 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 120975427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212109995520).

120975427200 is an abundant number, since it is smaller than the sum of its proper divisors (303244563840).

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

120975427200 is a wasteful number, since it uses less digits than its factorization.

120975427200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4116 (or 4099 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The spelling of 120975427200 in words is "one hundred twenty billion, nine hundred seventy-five million, four hundred twenty-seven thousand, two hundred".