120044400 has 240 divisors, whose sum is σ = 454637568. Its totient is φ = 26496000.

The previous prime is 120044399. The next prime is 120044423. The reversal of 120044400 is 4440021.

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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 120044400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 260170 + ... + 260630.

Almost surely, 2^120044400 is an apocalyptic number.

120044400 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 120044400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227318784).

120044400 is an abundant number, since it is smaller than the sum of its proper divisors (334593168).

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

120044400 is a wasteful number, since it uses less digits than its factorization.

120044400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 120044400 is about 10956.4775361427. The cubic root of 120044400 is about 493.3032405960.

Adding to 120044400 its reverse (4440021), we get a palindrome (124484421).

The spelling of 120044400 in words is "one hundred twenty million, forty-four thousand, four hundred".