120027801600 has 864 divisors, whose sum is σ = 496828200960. Its totient is φ = 27126005760.

The previous prime is 120027801583. The next prime is 120027801613. The reversal of 120027801600 is 6108720021.

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 71 ways as a sum of consecutive naturals, for example, 409651054 + ... + 409651346.

It is an arithmetic number, because the mean of its divisors is an integer number (575032640).

Almost surely, 2^120027801600 is an apocalyptic number.

120027801600 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 120027801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248414100480).

120027801600 is an abundant number, since it is smaller than the sum of its proper divisors (376800399360).

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

120027801600 is a wasteful number, since it uses less digits than its factorization.

120027801600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 120027801600 in words is "one hundred twenty billion, twenty-seven million, eight hundred one thousand, six hundred".