120205700 has 18 divisors (see below), whose sum is σ = 260846586. Its totient is φ = 48082240.

The previous prime is 120205681. The next prime is 120205717. The reversal of 120205700 is 7502021.

It can be written as a sum of positive squares in 3 ways, for example, as 40246336 + 79959364 = 6344^2 + 8942^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 600929 + ... + 601128.

It is an arithmetic number, because the mean of its divisors is an integer number (14491477).

Almost surely, 2^120205700 is an apocalyptic number.

120205700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120205700 is an abundant number, since it is smaller than the sum of its proper divisors (140640886).

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

120205700 is a wasteful number, since it uses less digits than its factorization.

120205700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202071 (or 1202064 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 17.

The square root of 120205700 is about 10963.8360075295. The cubic root of 120205700 is about 493.5240872183.

Adding to 120205700 its reverse (7502021), we get a palindrome (127707721).

The spelling of 120205700 in words is "one hundred twenty million, two hundred five thousand, seven hundred".