120932352000 has 660 divisors, whose sum is σ = 452754352596. Its totient is φ = 32248627200.

The previous prime is 120932351977. The next prime is 120932352007. The reversal of 120932352000 is 253239021.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 3869835264 + 117062516736 = 62208^2 + 342144^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120932352007) by changing a digit.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 24186470398 + ... + 24186470402.

Almost surely, 2^120932352000 is an apocalyptic number.

120932352000 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 120932352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226377176298).

120932352000 is an abundant number, since it is smaller than the sum of its proper divisors (331822000596).

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

120932352000 is an frugal number, since it uses more digits than its factorization.

120932352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The spelling of 120932352000 in words is "one hundred twenty billion, nine hundred thirty-two million, three hundred fifty-two thousand".