120442497436800 has 6912 divisors, whose sum is σ = 613686561546240. Its totient is φ = 22729310208000.

The previous prime is 120442497436787. The next prime is 120442497436801. The reversal of 120442497436800 is 8634794244021.

120442497436800 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 42 + 4 + 97 + 436 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (120442497436801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 347096534227 + ... + 347096534573.

It is an arithmetic number, because the mean of its divisors is an integer number (88785671520).

Almost surely, 2^{120442497436800} is an apocalyptic number.

120442497436800 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 120442497436800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306843280773120).

120442497436800 is an abundant number, since it is smaller than the sum of its proper divisors (493244064109440).

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

120442497436800 is a wasteful number, since it uses less digits than its factorization.

120442497436800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 120442497436800 in words is "one hundred twenty trillion, four hundred forty-two billion, four hundred ninety-seven million, four hundred thirty-six thousand, eight hundred".