120128400 has 360 divisors, whose sum is σ = 499566240. Its totient is φ = 27336960.

The previous prime is 120128383. The next prime is 120128413. The reversal of 120128400 is 4821021.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 529087 + ... + 529313.

It is an arithmetic number, because the mean of its divisors is an integer number (1387684).

Almost surely, 2^120128400 is an apocalyptic number.

120128400 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 120128400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249783120).

120128400 is an abundant number, since it is smaller than the sum of its proper divisors (379437840).

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

120128400 is a wasteful number, since it uses less digits than its factorization.

120128400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 120128400 is about 10960.3102145879. The cubic root of 120128400 is about 493.4182752854.

Adding to 120128400 its reverse (4821021), we get a palindrome (124949421).

The spelling of 120128400 in words is "one hundred twenty million, one hundred twenty-eight thousand, four hundred".