120381811200 has 1680 divisors, whose sum is σ = 543505005120. Its totient is φ = 25798901760.

The previous prime is 120381811163. The next prime is 120381811229. The reversal of 120381811200 is 2118183021.

120381811200 is a `hidden beast` number, since 1 + 2 + 0 + 381 + 81 + 1 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1241049552 + ... + 1241049648.

It is an arithmetic number, because the mean of its divisors is an integer number (323514884).

Almost surely, 2^120381811200 is an apocalyptic number.

120381811200 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 120381811200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271752502560).

120381811200 is an abundant number, since it is smaller than the sum of its proper divisors (423123193920).

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

120381811200 is an frugal number, since it uses more digits than its factorization.

120381811200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

Adding to 120381811200 its reverse (2118183021), we get a palindrome (122499994221).

The spelling of 120381811200 in words is "one hundred twenty billion, three hundred eighty-one million, eight hundred eleven thousand, two hundred".