120205402000 has 160 divisors (see below), whose sum is σ = 308180212704. Its totient is φ = 45191168000.

The previous prime is 120205401997. The next prime is 120205402007. The reversal of 120205402000 is 204502021.

It can be written as a sum of positive squares in 16 ways, for example, as 66787098624 + 53418303376 = 258432^2 + 231124^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (120205402007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29951994 + ... + 29956006.

Almost surely, 2^120205402000 is an apocalyptic number.

120205402000 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 120205402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154090106352).

120205402000 is an abundant number, since it is smaller than the sum of its proper divisors (187974810704).

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

120205402000 is a wasteful number, since it uses less digits than its factorization.

120205402000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4934 (or 4918 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

Adding to 120205402000 its reverse (204502021), we get a palindrome (120409904021).

The spelling of 120205402000 in words is "one hundred twenty billion, two hundred five million, four hundred two thousand".