120144400 has 60 divisors (see below), whose sum is σ = 293020432. Its totient is φ = 47329920.

The previous prime is 120144383. The next prime is 120144421. The reversal of 120144400 is 4441021.

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

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, 24559 + ... + 29041.

Almost surely, 2^120144400 is an apocalyptic number.

120144400 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 120144400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146510216).

120144400 is an abundant number, since it is smaller than the sum of its proper divisors (172876032).

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

120144400 is a wasteful number, since it uses less digits than its factorization.

120144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4568 (or 4557 counting only the distinct ones).

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

The square root of 120144400 is about 10961.0400966332. The cubic root of 120144400 is about 493.4401805743.

Adding to 120144400 its reverse (4441021), we get a palindrome (124585421).

The spelling of 120144400 in words is "one hundred twenty million, one hundred forty-four thousand, four hundred".