120575532000 has 576 divisors, whose sum is σ = 496247012352. Its totient is φ = 25052544000.

The previous prime is 120575531987. The next prime is 120575532127. The reversal of 120575532000 is 235575021.

120575532000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 95 ways as a sum of consecutive naturals, for example, 10158069 + ... + 10169931.

It is an arithmetic number, because the mean of its divisors is an integer number (861539952).

Almost surely, 2^120575532000 is an apocalyptic number.

120575532000 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 120575532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248123506176).

120575532000 is an abundant number, since it is smaller than the sum of its proper divisors (375671480352).

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

120575532000 is a wasteful number, since it uses less digits than its factorization.

120575532000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11920 (or 11891 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 30.

It can be divided in two parts, 120 and 575532000, that multiplied together give a square (69063840000 = 262800²).

The spelling of 120575532000 in words is "one hundred twenty billion, five hundred seventy-five million, five hundred thirty-two thousand".