120020400 has 120 divisors (see below), whose sum is σ = 427222160. Its totient is φ = 32002560.

The previous prime is 120020399. The next prime is 120020423. The reversal of 120020400 is 4020021.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5244 + ... + 16356.

Almost surely, 2^120020400 is an apocalyptic number.

120020400 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 120020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213611080).

120020400 is an abundant number, since it is smaller than the sum of its proper divisors (307201760).

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

120020400 is a wasteful number, since it uses less digits than its factorization.

120020400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11140 (or 11123 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 120020400 is about 10955.3822388815. The cubic root of 120020400 is about 493.2703636859.

Adding to 120020400 its reverse (4020021), we get a palindrome (124040421).

The spelling of 120020400 in words is "one hundred twenty million, twenty thousand, four hundred".