120020000 has 120 divisors (see below), whose sum is σ = 313521516. Its totient is φ = 45056000.

The previous prime is 120019987. The next prime is 120020011. The reversal of 120020000 is 20021.

It can be written as a sum of positive squares in 10 ways, for example, as 3984016 + 116035984 = 1996^2 + 10772^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 339824 + ... + 340176.

Almost surely, 2^120020000 is an apocalyptic number.

120020000 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 120020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156760758).

120020000 is an abundant number, since it is smaller than the sum of its proper divisors (193501516).

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

120020000 is an equidigital number, since it uses as much as digits as its factorization.

120020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

The square root of 120020000 is about 10955.3639829994. The cubic root of 120020000 is about 493.2698157003.

Adding to 120020000 its reverse (20021), we get a palindrome (120040021).

The spelling of 120020000 in words is "one hundred twenty million, twenty thousand".