120120099385600 has 216 divisors, whose sum is σ = 304613049720168. Its totient is φ = 46869145190400.

The previous prime is 120120099385597. The next prime is 120120099385619. The reversal of 120120099385600 is 6583990021021.

It can be written as a sum of positive squares in 12 ways, for example, as 55937953972224 + 64182145413376 = 7479168^2 + 8011376^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1977678432 + ... + 1977739168.

Almost surely, 2^{120120099385600} is an apocalyptic number.

120120099385600 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 120120099385600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152306524860084).

120120099385600 is an abundant number, since it is smaller than the sum of its proper divisors (184492950334568).

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

120120099385600 is an equidigital number, since it uses as much as digits as its factorization.

120120099385600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68341 (or 68322 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 46.

The spelling of 120120099385600 in words is "one hundred twenty trillion, one hundred twenty billion, ninety-nine million, three hundred eighty-five thousand, six hundred".