120441400 has 48 divisors (see below), whose sum is σ = 282225240. Its totient is φ = 47798400.

The previous prime is 120441397. The next prime is 120441427. The reversal of 120441400 is 4144021.

It is a super-2 number, since 2×120441400² = 29012261667920000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23902 + ... + 28498.

Almost surely, 2^120441400 is an apocalyptic number.

120441400 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 120441400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141112620).

120441400 is an abundant number, since it is smaller than the sum of its proper divisors (161783840).

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

120441400 is a wasteful number, since it uses less digits than its factorization.

120441400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4744 (or 4735 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 120441400 is about 10974.5797186043. The cubic root of 120441400 is about 493.8464448678.

Adding to 120441400 its reverse (4144021), we get a palindrome (124585421).

The spelling of 120441400 in words is "one hundred twenty million, four hundred forty-one thousand, four hundred".