120412800 has 288 divisors, whose sum is σ = 445177980. Its totient is φ = 30965760.

The previous prime is 120412757. The next prime is 120412807. The reversal of 120412800 is 8214021.

It can be written as a sum of positive squares in 6 ways, for example, as 32353344 + 88059456 = 5688^2 + 9384^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (120412807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1065544 + ... + 1065656.

Almost surely, 2^120412800 is an apocalyptic number.

120412800 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 120412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222588990).

120412800 is an abundant number, since it is smaller than the sum of its proper divisors (324765180).

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

120412800 is a wasteful number, since it uses less digits than its factorization.

120412800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 160 counting only the distinct ones).

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

The square root of 120412800 is about 10973.2766300682. The cubic root of 120412800 is about 493.8073522013.

Adding to 120412800 its reverse (8214021), we get a palindrome (128626821).

It can be divided in two parts, 12041 and 2800, that added together give a palindrome (14841).

The spelling of 120412800 in words is "one hundred twenty million, four hundred twelve thousand, eight hundred".