120230400 has 240 divisors, whose sum is σ = 414044928. Its totient is φ = 30720000.

The previous prime is 120230393. The next prime is 120230417. The reversal of 120230400 is 4032021.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 1190350 + ... + 1190450.

Almost surely, 2^120230400 is an apocalyptic number.

120230400 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 120230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207022464).

120230400 is an abundant number, since it is smaller than the sum of its proper divisors (293814528).

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

120230400 is a wasteful number, since it uses less digits than its factorization.

120230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 120230400 is about 10964.9623802364. The cubic root of 120230400 is about 493.5578881947.

Adding to 120230400 its reverse (4032021), we get a palindrome (124262421).

The spelling of 120230400 in words is "one hundred twenty million, two hundred thirty thousand, four hundred".