120066473779200 has 504 divisors, whose sum is σ = 463161595974168. Its totient is φ = 29554818416640.

The previous prime is 120066473779181. The next prime is 120066473779267. The reversal of 120066473779200 is 2977374660021.

120066473779200 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 6 + 64 + 7 + 377 + 9 + 200 = 666.

It is a super-2 number, since 2×120066473779200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21456207 + ... + 26466993.

Almost surely, 2^{120066473779200} is an apocalyptic number.

120066473779200 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 120066473779200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231580797987084).

120066473779200 is an abundant number, since it is smaller than the sum of its proper divisors (343095122194968).

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

120066473779200 is a wasteful number, since it uses less digits than its factorization.

120066473779200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5010842 (or 5010810 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The spelling of 120066473779200 in words is "one hundred twenty trillion, sixty-six billion, four hundred seventy-three million, seven hundred seventy-nine thousand, two hundred".