120142531584000 has 896 divisors, whose sum is σ = 467616010867200. Its totient is φ = 30351664742400.

The previous prime is 120142531583969. The next prime is 120142531584001. The reversal of 120142531584000 is 485135241021.

120142531584000 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 42 + 5 + 31 + 584 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120142531584001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 525197647 + ... + 525426353.

Almost surely, 2^{120142531584000} is an apocalyptic number.

120142531584000 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 120142531584000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233808005433600).

120142531584000 is an abundant number, since it is smaller than the sum of its proper divisors (347473479283200).

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

120142531584000 is an equidigital number, since it uses as much as digits as its factorization.

120142531584000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228776 (or 228736 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 120142531584000 in words is "one hundred twenty trillion, one hundred forty-two billion, five hundred thirty-one million, five hundred eighty-four thousand".