120353992200 has 972 divisors, whose sum is σ = 477837102015. Its totient is φ = 27129323520.

The previous prime is 120353992189. The next prime is 120353992219. The reversal of 120353992200 is 2299353021.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

120353992200 is a `hidden beast` number, since 12 + 0 + 3 + 539 + 92 + 20 + 0 = 666.

It can be written as a sum of positive squares in 41 ways, for example, as 34759127844 + 85594864356 = 186438^2 + 292566^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=245310.

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

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 242 ways as a sum of consecutive naturals, for example, 3252810582 + ... + 3252810618.

Almost surely, 2^120353992200 is an apocalyptic number.

120353992200 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 120353992200

120353992200 is an abundant number, since it is smaller than the sum of its proper divisors (357483109815).

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

120353992200 is a wasteful number, since it uses less digits than its factorization.

120353992200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 120353992200 in words is "one hundred twenty billion, three hundred fifty-three million, nine hundred ninety-two thousand, two hundred".