120400720 has 120 divisors (see below), whose sum is σ = 323148960. Its totient is φ = 41368320.

The previous prime is 120400703. The next prime is 120400727. The reversal of 120400720 is 27004021.

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

It is a junction number, because it is equal to n+sod(n) for n = 120400694 and 120400703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120400727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 317491 + ... + 317869.

It is an arithmetic number, because the mean of its divisors is an integer number (2692908).

Almost surely, 2^120400720 is an apocalyptic number.

120400720 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 120400720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161574480).

120400720 is an abundant number, since it is smaller than the sum of its proper divisors (202748240).

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

120400720 is a wasteful number, since it uses less digits than its factorization.

120400720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 120400720 is about 10972.7261881449. The cubic root of 120400720 is about 493.7908384744.

Adding to 120400720 its reverse (27004021), we get a palindrome (147404741).

The spelling of 120400720 in words is "one hundred twenty million, four hundred thousand, seven hundred twenty".