120113032003200 has 288 divisors, whose sum is σ = 437709782727360. Its totient is φ = 31348649134080.

The previous prime is 120113032003189. The next prime is 120113032003231. The reversal of 120113032003200 is 2300230311021.

120113032003200 is a `hidden beast` number, since 1 + 20 + 1 + 1 + 3 + 0 + 320 + 0 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 43014394 + ... + 45721593.

It is an arithmetic number, because the mean of its divisors is an integer number (1519825634470).

Almost surely, 2^{120113032003200} is an apocalyptic number.

120113032003200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120113032003200 is an abundant number, since it is smaller than the sum of its proper divisors (317596750724160).

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

120113032003200 is a wasteful number, since it uses less digits than its factorization.

120113032003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88736064 (or 88736044 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 120113032003200 its reverse (2300230311021), we get a palindrome (122413262314221).

The spelling of 120113032003200 in words is "one hundred twenty trillion, one hundred thirteen billion, thirty-two million, three thousand, two hundred".