120782361600 has 1056 divisors, whose sum is σ = 495269193600. Its totient is φ = 28665446400.

The previous prime is 120782361593. The next prime is 120782361631. The reversal of 120782361600 is 6163287021.

120782361600 is a `hidden beast` number, since 1 + 20 + 7 + 8 + 23 + 6 + 1 + 600 = 666.

It is a super-3 number, since 3×120782361600³ (a number of 34 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 223257330 + ... + 223257870.

Almost surely, 2^120782361600 is an apocalyptic number.

120782361600 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 120782361600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247634596800).

120782361600 is an abundant number, since it is smaller than the sum of its proper divisors (374486832000).

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

120782361600 is a wasteful number, since it uses less digits than its factorization.

120782361600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 120782361600 in words is "one hundred twenty billion, seven hundred eighty-two million, three hundred sixty-one thousand, six hundred".