120577438800 has 1080 divisors, whose sum is σ = 533537851392. Its totient is φ = 24555571200.

The previous prime is 120577438783. The next prime is 120577438811. The reversal of 120577438800 is 8834775021.

120577438800 is a `hidden beast` number, since 1 + 205 + 7 + 7 + 438 + 8 + 0 + 0 = 666.

120577438800 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 314823409 + ... + 314823791.

Almost surely, 2^120577438800 is an apocalyptic number.

120577438800 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 120577438800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266768925696).

120577438800 is an abundant number, since it is smaller than the sum of its proper divisors (412960412592).

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

120577438800 is a wasteful number, since it uses less digits than its factorization.

120577438800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 120577438800 in words is "one hundred twenty billion, five hundred seventy-seven million, four hundred thirty-eight thousand, eight hundred".